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module module low

IndisputableMonolith.Chemistry.AcidBaseTheoriesFromConfigDim

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Enumerates classical acid-base theories as a finite type forced by configuration dimension in the RS chemistry layer. Chemists and framework auditors cite it for the count and certificate that the list is exhaustive relative to the config-dim hypothesis. Structure is definitional: an inductive (or finite) type, a cardinality lemma, and a bundled certificate; no deep analytic proof.

claimThere is a finite type of acid-base theories (Arrhenius, Brønsted-Lowry, Lewis, and any further cases admitted by configuration dimension), together with an explicit count of that type and a certificate asserting the enumeration is complete under the config-dimension hypothesis.

background

Recognition Science treats chemistry as constrained by the same forcing chain that fixes $D=3$ spatial dimensions (T8) and the eight-tick octave (T7). Configuration dimension here means the effective dimension of the local bonding/coordination space in which proton or electron-pair transfer is scored.

The module sits in the Chemistry domain and imports only Mathlib plus Constants (the RS time quantum $\tau_0=1$ tick). Sibling names indicate a closed finite catalogue: a type AcidBaseTheory, a count acidBaseTheory_count, and a certificate pair AcidBaseTheoriesCert / acidBaseTheoriesCert that packages the claim that the catalogue matches what config-dim allows.

No mass-ladder or $J$-cost identities appear at this layer; the module is taxonomic rather than dynamical.

proof idea

Definition module with light lemmas. The theory list is introduced as an inductive or finite enumeration; the count is a one-line rfl or decide on that type's cardinality; the certificate is a structure bundling the enumeration and the count equality. No tactic-heavy argument and no appeal to RCL or the phi-ladder beyond the ambient RS units import.

why it matters in Recognition Science

Gives the Chemistry layer a named, countable set of acid-base frameworks so later RS chemistry results can quantify over "which theory" without open-ended classical lists. Downstream use is not yet wired in this mirror (used_by empty), so the module is a leaf catalogue ready for reaction-classification or pKa-ladder work. It does not itself force $D=3$ or alpha; it only consumes the config-dim setting those landmarks already fixed.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)