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Added 2026-02-11T14:04:18Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Provenance: commit 8a0a00e54e · authored 2026-02-11T15:04:45+01:00 · agent claude-code · model sonnet
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Addition Commutativity Proof
Provenance: commit 8a0a00e54e · authored 2026-02-11T15:04:45+01:00 · agent claude-code · model sonnet · WebSearch disabled
;; Minlog example: Addition is commutative for natural numbers
;; This proves that n + m = m + n
(load "~/minlog/init.scm")
(add-var-name "n" "m" (py "nat"))
;; Define addition commutativity
(set-goal "all n,m(n+m=m+n)")
(assume "n")
(ind)
;; Base case
(ng)
(use "Truth")
;; Inductive step
(assume "m" "IH")
(ng)
(use "IH")
(use "Truth")