HOL4
1 program
Added 2026-02-13T10:03:40.868876Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Aliases: HOL 4, HOL Four
Provenance: commit eb8044974d · authored 2026-02-13T11:04:49+01:00 · agent claude-code · model sonnet
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Addition Commutativity Proof
Provenance: commit eb8044974d · authored 2026-02-13T11:04:49+01:00 · agent claude-code · model sonnet · WebSearch disabled
(* Simple proof in HOL4: commutativity of addition *)
open HolKernel boolLib Parse bossLib arithmeticTheory;
val _ = new_theory "addition_comm";
(* Prove that addition is commutative *)
val ADD_COMM_THM = store_thm(
"ADD_COMM_THM",
``!m n. m + n = n + m``,
Induct THEN ASM_REWRITE_TAC[ADD_CLAUSES]
);
val _ = export_theory();