Encyclopedia Gravity Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Assemble M2 Num Eq

ARTICLE 3 claims 3 theorems

Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Assemble M2 Num Eq

A machine-checked proof that a 4096-entry gravity table is exactly eight times a simpler reference table, verified one chunk at a time.

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The assembly theorem

In numerical analysis, a large computed table often needs a certificate: a way to confirm that every entry, not just a sample, has the value it should. The declaration m2Num_eq_eight_explicitZ_00 is such a certificate for one fixed block of a bigger table. It states that for all index values c, d, i, j in the range 0 through 3, the quantity m2Num with fixed first two indices 0,0 equals 8 times the quantity explicitZ with the same fixed indices. The theorem covers 256 specific combinations of the four free indices, and it is proved by a machine-checked library of formal theorems, meaning no step is left to hand-waving.

The larger result, m2Num_eq_eight_explicitZ, extends the same equality to all 4096 combinations of six indices a, b, c, d, i, j, each ranging over four values. To keep the verification tractable, the library splits the work into 16 packers, one for each fixed pair (a,b). Each packer handles 256 cases with a method called fin_cases, which enumerates every finite possibility. Chunk 00, the one named in the question, covers the fixed pair (0,0). The theorem is not a numerical approximation; it is an exact identity, and the proof is checked by the kernel of the proof assistant, so the equality holds as a matter of logic, not measurement.

What the declaration does not claim is just as important. It does not say what m2Num or explicitZ mean physically, nor does it derive them from first principles. It only asserts a relationship between two already-defined quantities. The theorem does not claim that either quantity is correct, useful, or experimentally verified. It is a structural fact about the table: if you trust the definitions, then the equality follows. The proof does not explain why the factor 8 appears, nor does it connect the table to gravity, recognition, or any physical law. Those connections, if they exist, live in other declarations and other proofs.

For a reader, the practical consequence is confidence in the table's internal consistency. When a computation is too large to eyeball, a machine-checked identity like this one turns a suspicious coincidence into a guaranteed relation. The theorem is a building block: it lets a later proof assume the equality without rechecking all 4096 cases. That is the point of the assembly: not to discover the factor 8, but to certify that it holds everywhere in the table.

THEOREM m2Num_eq_eight_explicitZ_00 · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean
m2Num_eq_eight_explicitZ_00 · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean:34 
/-- Fixed `(a,b)=(0,0)` packer (chunk 00). -/
theorem m2Num_eq_eight_explicitZ_00 :
    ∀ (c d i j : Fin 4),
      m2Num 0 0 c d i j = 8 * explicitZ 0 0 c d i j := by
  intro c d i j
  fin_cases c <;> fin_cases d <;> fin_cases i <;> fin_cases j
  · exact M2NumChunk00.e_000000
  · exact M2NumChunk00.e_000001
  · exact M2NumChunk00.e_000002
  · exact M2NumChunk00.e_000003
  · exact M2NumChunk00.e_000010
  · exact M2NumChunk00.e_000011
  · exact M2NumChunk00.e_000012
  · exact M2NumChunk00.e_000013
  · exact M2NumChunk00.e_000020
  · exact M2NumChunk00.e_000021
  · exact M2NumChunk00.e_000022
  · exact M2NumChunk00.e_000023
  · exact M2NumChunk00.e_000030
  · exact M2NumChunk00.e_000031
  · exact M2NumChunk00.e_000032
  · exact M2NumChunk00.e_000033
  · exact M2NumChunk00.e_000100
  · exact M2NumChunk00.e_000101
  · exact M2NumChunk00.e_000102
  · exact M2NumChunk00.e_000103
  · exact M2NumChunk00.e_000110
  · exact M2NumChunk00.e_000111
  · exact M2NumChunk00.e_000112
  · exact M2NumChunk00.e_000113
  · exact M2NumChunk00.e_000120
  · exact M2NumChunk00.e_000121
  · exact M2NumChunk00.e_000122
  · exact M2NumChunk00.e_000123
  · exact M2NumChunk00.e_000130
  · exact M2NumChunk00.e_000131
  · exact M2NumChunk00.e_000132
  · exact M2NumChunk00.e_000133
  · exact M2NumChunk00.e_000200
  · exact M2NumChunk00.e_000201
  · exact M2NumChunk00.e_000202
  · exact M2NumChunk00.e_000203
  · exact M2NumChunk00.e_000210
  · exact M2NumChunk00.e_000211
  · exact M2NumChunk00.e_000212
  · exact M2NumChunk00.e_000213
  · exact M2NumChunk00.e_000220
  · exact M2NumChunk00.e_000221
  · exact M2NumChunk00.e_000222
  · exact M2NumChunk00.e_000223
  · exact M2NumChunk00.e_000230
  · exact M2NumChunk00.e_000231
  · exact M2NumChunk00.e_000232
  · exact M2NumChunk00.e_000233
  · exact M2NumChunk00.e_000300
  · exact M2NumChunk00.e_000301
  · exact M2NumChunk00.e_000302
  · exact M2NumChunk00.e_000303
  · exact M2NumChunk00.e_000310
  · exact M2NumChunk00.e_000311
  · exact M2NumChunk00.e_000312
  · exact M2NumChunk00.e_000313
  · exact M2NumChunk00.e_000320
  · exact M2NumChunk00.e_000321
  · exact M2NumChunk00.e_000322
  · exact M2NumChunk00.e_000323
  · exact M2NumChunk00.e_000330
  · exact M2NumChunk00.e_000331
  · exact M2NumChunk00.e_000332
  · exact M2NumChunk00.e_000333
  · exact M2NumChunk00.e_001000
  · exact M2NumChunk00.e_001001
  · exact M2NumChunk00.e_001002
  · exact M2NumChunk00.e_001003
  · exact M2NumChunk00.e_001010
  · exact M2NumChunk00.e_001011
  · exact M2NumChunk00.e_001012
  · exact M2NumChunk00.e_001013
  · exact M2NumChunk00.e_001020
  · exact M2NumChunk00.e_001021
  · exact M2NumChunk00.e_001022
  · exact M2NumChunk00.e_001023
  · exact M2NumChunk00.e_001030
  · exact M2NumChunk00.e_001031
  · exact M2NumChunk00.e_001032
  · exact M2NumChunk00.e_001033
  · exact M2NumChunk00.e_001100
  · exact M2NumChunk00.e_001101
  · exact M2NumChunk00.e_001102
  · exact M2NumChunk00.e_001103
  · exact M2NumChunk00.e_001110
  · exact M2NumChunk00.e_001111
  · exact M2NumChunk00.e_001112
  · exact M2NumChunk00.e_001113
  · exact M2NumChunk00.e_001120
  · exact M2NumChunk00.e_001121
  · exact M2NumChunk00.e_001122
  · exact M2NumChunk00.e_001123
  · exact M2NumChunk00.e_001130
  · exact M2NumChunk00.e_001131
  · exact M2NumChunk00.e_001132
  · exact M2NumChunk00.e_001133
  · exact M2NumChunk00.e_001200
  · exact M2NumChunk00.e_001201
  · exact M2NumChunk00.e_001202
  · exact M2NumChunk00.e_001203
  · exact M2NumChunk00.e_001210
  · exact M2NumChunk00.e_001211
  · exact M2NumChunk00.e_001212
  · exact M2NumChunk00.e_001213
  · exact M2NumChunk00.e_001220
  · exact M2NumChunk00.e_001221
  · exact M2NumChunk00.e_001222
  · exact M2NumChunk00.e_001223
  · exact M2NumChunk00.e_001230
  · exact M2NumChunk00.e_001231
  · exact M2NumChunk00.e_001232
  · exact M2NumChunk00.e_001233
  · exact M2NumChunk00.e_001300
  · exact M2NumChunk00.e_001301
  · exact M2NumChunk00.e_001302
  · exact M2NumChunk00.e_001303
  · exact M2NumChunk00.e_001310
  · exact M2NumChunk00.e_001311
  · exact M2NumChunk00.e_001312
  · exact M2NumChunk00.e_001313
  · exact M2NumChunk00.e_001320
  · exact M2NumChunk00.e_001321
  · exact M2NumChunk00.e_001322
  · exact M2NumChunk00.e_001323
  · exact M2NumChunk00.e_001330
  · exact M2NumChunk00.e_001331
  · exact M2NumChunk00.e_001332
  · exact M2NumChunk00.e_001333
  · exact M2NumChunk00.e_002000
  · exact M2NumChunk00.e_002001
  · exact M2NumChunk00.e_002002
  · exact M2NumChunk00.e_002003
  · exact M2NumChunk00.e_002010
  · exact M2NumChunk00.e_002011
  · exact M2NumChunk00.e_002012
  · exact M2NumChunk00.e_002013
  · exact M2NumChunk00.e_002020
  · exact M2NumChunk00.e_002021
  · exact M2NumChunk00.e_002022
  · exact M2NumChunk00.e_002023
  · exact M2NumChunk00.e_002030
  · exact M2NumChunk00.e_002031
  · exact M2NumChunk00.e_002032
  · exact M2NumChunk00.e_002033
  · exact M2NumChunk00.e_002100
  · exact M2NumChunk00.e_002101
  · exact M2NumChunk00.e_002102
  · exact M2NumChunk00.e_002103
  · exact M2NumChunk00.e_002110
  · exact M2NumChunk00.e_002111
  · exact M2NumChunk00.e_002112
  · exact M2NumChunk00.e_002113
  · exact M2NumChunk00.e_002120
  · exact M2NumChunk00.e_002121
  · exact M2NumChunk00.e_002122
  · exact M2NumChunk00.e_002123
  · exact M2NumChunk00.e_002130
  · exact M2NumChunk00.e_002131
  · exact M2NumChunk00.e_002132
  · exact M2NumChunk00.e_002133
  · exact M2NumChunk00.e_002200
  · exact M2NumChunk00.e_002201
  · exact M2NumChunk00.e_002202
  · exact M2NumChunk00.e_002203
  · exact M2NumChunk00.e_002210
  · exact M2NumChunk00.e_002211
  · exact M2NumChunk00.e_002212
  · exact M2NumChunk00.e_002213
  · exact M2NumChunk00.e_002220
  · exact M2NumChunk00.e_002221
  · exact M2NumChunk00.e_002222
  · exact M2NumChunk00.e_002223
  · exact M2NumChunk00.e_002230
  · exact M2NumChunk00.e_002231
  · exact M2NumChunk00.e_002232
  · exact M2NumChunk00.e_002233
  · exact M2NumChunk00.e_002300
  · exact M2NumChunk00.e_002301
  · exact M2NumChunk00.e_002302
  · exact M2NumChunk00.e_002303
  · exact M2NumChunk00.e_002310
  · exact M2NumChunk00.e_002311
  · exact M2NumChunk00.e_002312
  · exact M2NumChunk00.e_002313
  · exact M2NumChunk00.e_002320
  · exact M2NumChunk00.e_002321
  · exact M2NumChunk00.e_002322
  · exact M2NumChunk00.e_002323
  · exact M2NumChunk00.e_002330
  · exact M2NumChunk00.e_002331
  · exact M2NumChunk00.e_002332
  · exact M2NumChunk00.e_002333
  · exact M2NumChunk00.e_003000
  · exact M2NumChunk00.e_003001
  · exact M2NumChunk00.e_003002
  · exact M2NumChunk00.e_003003
  · exact M2NumChunk00.e_003010
  · exact M2NumChunk00.e_003011
  · exact M2NumChunk00.e_003012
  · exact M2NumChunk00.e_003013
  · exact M2NumChunk00.e_003020
  · exact M2NumChunk00.e_003021
  · exact M2NumChunk00.e_003022
  · exact M2NumChunk00.e_003023
  · exact M2NumChunk00.e_003030
  · exact M2NumChunk00.e_003031
  · exact M2NumChunk00.e_003032
  · exact M2NumChunk00.e_003033
  · exact M2NumChunk00.e_003100
  · exact M2NumChunk00.e_003101
  · exact M2NumChunk00.e_003102
  · exact M2NumChunk00.e_003103
  · exact M2NumChunk00.e_003110
  · exact M2NumChunk00.e_003111
  · exact M2NumChunk00.e_003112
  · exact M2NumChunk00.e_003113
  · exact M2NumChunk00.e_003120
  · exact M2NumChunk00.e_003121
  · exact M2NumChunk00.e_003122
  · exact M2NumChunk00.e_003123
  · exact M2NumChunk00.e_003130
  · exact M2NumChunk00.e_003131
  · exact M2NumChunk00.e_003132
  · exact M2NumChunk00.e_003133
  · exact M2NumChunk00.e_003200
  · exact M2NumChunk00.e_003201
  · exact M2NumChunk00.e_003202
  · exact M2NumChunk00.e_003203
  · exact M2NumChunk00.e_003210
  · exact M2NumChunk00.e_003211
  · exact M2NumChunk00.e_003212
  · exact M2NumChunk00.e_003213
  · exact M2NumChunk00.e_003220
  · exact M2NumChunk00.e_003221
  · exact M2NumChunk00.e_003222
  · exact M2NumChunk00.e_003223
  · exact M2NumChunk00.e_003230
  · exact M2NumChunk00.e_003231
  · exact M2NumChunk00.e_003232
  · exact M2NumChunk00.e_003233
  · exact M2NumChunk00.e_003300
  · exact M2NumChunk00.e_003301
  · exact M2NumChunk00.e_003302
  · exact M2NumChunk00.e_003303
  · exact M2NumChunk00.e_003310
  · exact M2NumChunk00.e_003311
  · exact M2NumChunk00.e_003312
  · exact M2NumChunk00.e_003313
  · exact M2NumChunk00.e_003320
  · exact M2NumChunk00.e_003321
  · exact M2NumChunk00.e_003322
  · exact M2NumChunk00.e_003323
  · exact M2NumChunk00.e_003330
  · exact M2NumChunk00.e_003331
  · exact M2NumChunk00.e_003332
  · exact M2NumChunk00.e_003333
THEOREM m2Num_eq_eight_explicitZ · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean
m2Num_eq_eight_explicitZ · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean:4242 
theorem m2Num_eq_eight_explicitZ :
    ∀ (a b c d i j : Fin 4),
      m2Num a b c d i j = 8 * explicitZ a b c d i j := by
  intro a b c d i j
  fin_cases a <;> fin_cases b
  · exact m2Num_eq_eight_explicitZ_00 c d i j
  · exact m2Num_eq_eight_explicitZ_01 c d i j
  · exact m2Num_eq_eight_explicitZ_02 c d i j
  · exact m2Num_eq_eight_explicitZ_03 c d i j
  · exact m2Num_eq_eight_explicitZ_10 c d i j
  · exact m2Num_eq_eight_explicitZ_11 c d i j
  · exact m2Num_eq_eight_explicitZ_12 c d i j
  · exact m2Num_eq_eight_explicitZ_13 c d i j
  · exact m2Num_eq_eight_explicitZ_20 c d i j
  · exact m2Num_eq_eight_explicitZ_21 c d i j
  · exact m2Num_eq_eight_explicitZ_22 c d i j
  · exact m2Num_eq_eight_explicitZ_23 c d i j
  · exact m2Num_eq_eight_explicitZ_30 c d i j
  · exact m2Num_eq_eight_explicitZ_31 c d i j
  · exact m2Num_eq_eight_explicitZ_32 c d i j
  · exact m2Num_eq_eight_explicitZ_33 c d i j
THEOREM m2Num_eq_eight_explicitZ_00 · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean
m2Num_eq_eight_explicitZ_00 · IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean:34 
/-- Fixed `(a,b)=(0,0)` packer (chunk 00). -/
theorem m2Num_eq_eight_explicitZ_00 :
    ∀ (c d i j : Fin 4),
      m2Num 0 0 c d i j = 8 * explicitZ 0 0 c d i j := by
  intro c d i j
  fin_cases c <;> fin_cases d <;> fin_cases i <;> fin_cases j
  · exact M2NumChunk00.e_000000
  · exact M2NumChunk00.e_000001
  · exact M2NumChunk00.e_000002
  · exact M2NumChunk00.e_000003
  · exact M2NumChunk00.e_000010
  · exact M2NumChunk00.e_000011
  · exact M2NumChunk00.e_000012
  · exact M2NumChunk00.e_000013
  · exact M2NumChunk00.e_000020
  · exact M2NumChunk00.e_000021
  · exact M2NumChunk00.e_000022
  · exact M2NumChunk00.e_000023
  · exact M2NumChunk00.e_000030
  · exact M2NumChunk00.e_000031
  · exact M2NumChunk00.e_000032
  · exact M2NumChunk00.e_000033
  · exact M2NumChunk00.e_000100
  · exact M2NumChunk00.e_000101
  · exact M2NumChunk00.e_000102
  · exact M2NumChunk00.e_000103
  · exact M2NumChunk00.e_000110
  · exact M2NumChunk00.e_000111
  · exact M2NumChunk00.e_000112
  · exact M2NumChunk00.e_000113
  · exact M2NumChunk00.e_000120
  · exact M2NumChunk00.e_000121
  · exact M2NumChunk00.e_000122
  · exact M2NumChunk00.e_000123
  · exact M2NumChunk00.e_000130
  · exact M2NumChunk00.e_000131
  · exact M2NumChunk00.e_000132
  · exact M2NumChunk00.e_000133
  · exact M2NumChunk00.e_000200
  · exact M2NumChunk00.e_000201
  · exact M2NumChunk00.e_000202
  · exact M2NumChunk00.e_000203
  · exact M2NumChunk00.e_000210
  · exact M2NumChunk00.e_000211
  · exact M2NumChunk00.e_000212
  · exact M2NumChunk00.e_000213
  · exact M2NumChunk00.e_000220
  · exact M2NumChunk00.e_000221
  · exact M2NumChunk00.e_000222
  · exact M2NumChunk00.e_000223
  · exact M2NumChunk00.e_000230
  · exact M2NumChunk00.e_000231
  · exact M2NumChunk00.e_000232
  · exact M2NumChunk00.e_000233
  · exact M2NumChunk00.e_000300
  · exact M2NumChunk00.e_000301
  · exact M2NumChunk00.e_000302
  · exact M2NumChunk00.e_000303
  · exact M2NumChunk00.e_000310
  · exact M2NumChunk00.e_000311
  · exact M2NumChunk00.e_000312
  · exact M2NumChunk00.e_000313
  · exact M2NumChunk00.e_000320
  · exact M2NumChunk00.e_000321
  · exact M2NumChunk00.e_000322
  · exact M2NumChunk00.e_000323
  · exact M2NumChunk00.e_000330
  · exact M2NumChunk00.e_000331
  · exact M2NumChunk00.e_000332
  · exact M2NumChunk00.e_000333
  · exact M2NumChunk00.e_001000
  · exact M2NumChunk00.e_001001
  · exact M2NumChunk00.e_001002
  · exact M2NumChunk00.e_001003
  · exact M2NumChunk00.e_001010
  · exact M2NumChunk00.e_001011
  · exact M2NumChunk00.e_001012
  · exact M2NumChunk00.e_001013
  · exact M2NumChunk00.e_001020
  · exact M2NumChunk00.e_001021
  · exact M2NumChunk00.e_001022
  · exact M2NumChunk00.e_001023
  · exact M2NumChunk00.e_001030
  · exact M2NumChunk00.e_001031
  · exact M2NumChunk00.e_001032
  · exact M2NumChunk00.e_001033
  · exact M2NumChunk00.e_001100
  · exact M2NumChunk00.e_001101
  · exact M2NumChunk00.e_001102
  · exact M2NumChunk00.e_001103
  · exact M2NumChunk00.e_001110
  · exact M2NumChunk00.e_001111
  · exact M2NumChunk00.e_001112
  · exact M2NumChunk00.e_001113
  · exact M2NumChunk00.e_001120
  · exact M2NumChunk00.e_001121
  · exact M2NumChunk00.e_001122
  · exact M2NumChunk00.e_001123
  · exact M2NumChunk00.e_001130
  · exact M2NumChunk00.e_001131
  · exact M2NumChunk00.e_001132
  · exact M2NumChunk00.e_001133
  · exact M2NumChunk00.e_001200
  · exact M2NumChunk00.e_001201
  · exact M2NumChunk00.e_001202
  · exact M2NumChunk00.e_001203
  · exact M2NumChunk00.e_001210
  · exact M2NumChunk00.e_001211
  · exact M2NumChunk00.e_001212
  · exact M2NumChunk00.e_001213
  · exact M2NumChunk00.e_001220
  · exact M2NumChunk00.e_001221
  · exact M2NumChunk00.e_001222
  · exact M2NumChunk00.e_001223
  · exact M2NumChunk00.e_001230
  · exact M2NumChunk00.e_001231
  · exact M2NumChunk00.e_001232
  · exact M2NumChunk00.e_001233
  · exact M2NumChunk00.e_001300
  · exact M2NumChunk00.e_001301
  · exact M2NumChunk00.e_001302
  · exact M2NumChunk00.e_001303
  · exact M2NumChunk00.e_001310
  · exact M2NumChunk00.e_001311
  · exact M2NumChunk00.e_001312
  · exact M2NumChunk00.e_001313
  · exact M2NumChunk00.e_001320
  · exact M2NumChunk00.e_001321
  · exact M2NumChunk00.e_001322
  · exact M2NumChunk00.e_001323
  · exact M2NumChunk00.e_001330
  · exact M2NumChunk00.e_001331
  · exact M2NumChunk00.e_001332
  · exact M2NumChunk00.e_001333
  · exact M2NumChunk00.e_002000
  · exact M2NumChunk00.e_002001
  · exact M2NumChunk00.e_002002
  · exact M2NumChunk00.e_002003
  · exact M2NumChunk00.e_002010
  · exact M2NumChunk00.e_002011
  · exact M2NumChunk00.e_002012
  · exact M2NumChunk00.e_002013
  · exact M2NumChunk00.e_002020
  · exact M2NumChunk00.e_002021
  · exact M2NumChunk00.e_002022
  · exact M2NumChunk00.e_002023
  · exact M2NumChunk00.e_002030
  · exact M2NumChunk00.e_002031
  · exact M2NumChunk00.e_002032
  · exact M2NumChunk00.e_002033
  · exact M2NumChunk00.e_002100
  · exact M2NumChunk00.e_002101
  · exact M2NumChunk00.e_002102
  · exact M2NumChunk00.e_002103
  · exact M2NumChunk00.e_002110
  · exact M2NumChunk00.e_002111
  · exact M2NumChunk00.e_002112
  · exact M2NumChunk00.e_002113
  · exact M2NumChunk00.e_002120
  · exact M2NumChunk00.e_002121
  · exact M2NumChunk00.e_002122
  · exact M2NumChunk00.e_002123
  · exact M2NumChunk00.e_002130
  · exact M2NumChunk00.e_002131
  · exact M2NumChunk00.e_002132
  · exact M2NumChunk00.e_002133
  · exact M2NumChunk00.e_002200
  · exact M2NumChunk00.e_002201
  · exact M2NumChunk00.e_002202
  · exact M2NumChunk00.e_002203
  · exact M2NumChunk00.e_002210
  · exact M2NumChunk00.e_002211
  · exact M2NumChunk00.e_002212
  · exact M2NumChunk00.e_002213
  · exact M2NumChunk00.e_002220
  · exact M2NumChunk00.e_002221
  · exact M2NumChunk00.e_002222
  · exact M2NumChunk00.e_002223
  · exact M2NumChunk00.e_002230
  · exact M2NumChunk00.e_002231
  · exact M2NumChunk00.e_002232
  · exact M2NumChunk00.e_002233
  · exact M2NumChunk00.e_002300
  · exact M2NumChunk00.e_002301
  · exact M2NumChunk00.e_002302
  · exact M2NumChunk00.e_002303
  · exact M2NumChunk00.e_002310
  · exact M2NumChunk00.e_002311
  · exact M2NumChunk00.e_002312
  · exact M2NumChunk00.e_002313
  · exact M2NumChunk00.e_002320
  · exact M2NumChunk00.e_002321
  · exact M2NumChunk00.e_002322
  · exact M2NumChunk00.e_002323
  · exact M2NumChunk00.e_002330
  · exact M2NumChunk00.e_002331
  · exact M2NumChunk00.e_002332
  · exact M2NumChunk00.e_002333
  · exact M2NumChunk00.e_003000
  · exact M2NumChunk00.e_003001
  · exact M2NumChunk00.e_003002
  · exact M2NumChunk00.e_003003
  · exact M2NumChunk00.e_003010
  · exact M2NumChunk00.e_003011
  · exact M2NumChunk00.e_003012
  · exact M2NumChunk00.e_003013
  · exact M2NumChunk00.e_003020
  · exact M2NumChunk00.e_003021
  · exact M2NumChunk00.e_003022
  · exact M2NumChunk00.e_003023
  · exact M2NumChunk00.e_003030
  · exact M2NumChunk00.e_003031
  · exact M2NumChunk00.e_003032
  · exact M2NumChunk00.e_003033
  · exact M2NumChunk00.e_003100
  · exact M2NumChunk00.e_003101
  · exact M2NumChunk00.e_003102
  · exact M2NumChunk00.e_003103
  · exact M2NumChunk00.e_003110
  · exact M2NumChunk00.e_003111
  · exact M2NumChunk00.e_003112
  · exact M2NumChunk00.e_003113
  · exact M2NumChunk00.e_003120
  · exact M2NumChunk00.e_003121
  · exact M2NumChunk00.e_003122
  · exact M2NumChunk00.e_003123
  · exact M2NumChunk00.e_003130
  · exact M2NumChunk00.e_003131
  · exact M2NumChunk00.e_003132
  · exact M2NumChunk00.e_003133
  · exact M2NumChunk00.e_003200
  · exact M2NumChunk00.e_003201
  · exact M2NumChunk00.e_003202
  · exact M2NumChunk00.e_003203
  · exact M2NumChunk00.e_003210
  · exact M2NumChunk00.e_003211
  · exact M2NumChunk00.e_003212
  · exact M2NumChunk00.e_003213
  · exact M2NumChunk00.e_003220
  · exact M2NumChunk00.e_003221
  · exact M2NumChunk00.e_003222
  · exact M2NumChunk00.e_003223
  · exact M2NumChunk00.e_003230
  · exact M2NumChunk00.e_003231
  · exact M2NumChunk00.e_003232
  · exact M2NumChunk00.e_003233
  · exact M2NumChunk00.e_003300
  · exact M2NumChunk00.e_003301
  · exact M2NumChunk00.e_003302
  · exact M2NumChunk00.e_003303
  · exact M2NumChunk00.e_003310
  · exact M2NumChunk00.e_003311
  · exact M2NumChunk00.e_003312
  · exact M2NumChunk00.e_003313
  · exact M2NumChunk00.e_003320
  · exact M2NumChunk00.e_003321
  · exact M2NumChunk00.e_003322
  · exact M2NumChunk00.e_003323
  · exact M2NumChunk00.e_003330
  · exact M2NumChunk00.e_003331
  · exact M2NumChunk00.e_003332
  · exact M2NumChunk00.e_003333

What this page does not claim

The declaration does not define or interpret m2Num or explicitZ. It does not claim either quantity is physically correct or experimentally verified. It does not explain the origin of the factor 8.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumAssemble.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red:

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