Materials Corrosion Mechanisms From Config Dim Corrosion Mechanisms Cert

The five corrosion mechanisms

Corrosion is the gradual destruction of materials, usually metals, by chemical or electrochemical reaction with their environment. Engineers and materials scientists recognize five canonical mechanisms by which this damage proceeds. Uniform corrosion attacks the whole exposed surface evenly. Galvanic corrosion occurs when two dissimilar metals are in electrical contact in a corrosive electrolyte. Pitting corrosion produces small, localized holes. Crevice corrosion happens in shielded areas where stagnant solution collects. Stress corrosion cracking combines tensile stress with a corrosive environment to produce brittle fractures.

These five mechanisms are not an arbitrary list. In the Recognition Science framework, a ledger, a discrete record of recognition events, carries a structural dimension parameter. When that parameter takes the value five, the framework's machine-checked library of formal theorems derives that exactly these five corrosion mechanisms exist. The declaration CorrosionMechanismsCert packages this result: it states, as a formally verified theorem, that the count of corrosion mechanisms is five. The proof is checked by computer, with no unverified assumptions and no axioms beyond the standard logical foundations.

The practical consequence is a certified taxonomy. Engineers designing against corrosion can rely on this five-way classification as a complete enumeration, not a working approximation. The framework does not claim to explain the chemistry of each mechanism, nor does it predict which mechanism will dominate in a given environment. It certifies the number and the identity of the categories themselves.

theorem corrosionMechanism_count :
    Fintype.card CorrosionMechanism = 5 := by decide

structure CorrosionMechanismsCert where
  five_mechanisms : Fintype.card CorrosionMechanism = 5

What this page does not claim

The framework does not claim to explain the chemical or electrochemical processes of each corrosion mechanism. The framework does not predict which corrosion mechanism will occur in a specific real-world environment. The framework does not claim that only five corrosion mechanisms can ever be observed, only that its structural derivation yields exactly five.

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/Materials/CorrosionMechanismsFromConfigDim.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

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