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Proof step 35 from proof gcd-loop-partial (conclusion)

inv(n, m, N, M) ⊦ [: N, M | rely(N', M', N'', M''), rely(M, N, M', N'), inv(n, m, N, M), GCD_loop(; N, M)] (N = M ∧ N = gcd(n, m))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

[Concretesimprules((Csimpnamedseq(rely,,, ⊦ rely(n, m, n', m') ↔ ¬ ¬ ( m' = m ∧ n' ≤ n ∧ (n ≤ m → n' = n)))))]