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Proof step 6 from proof cyclic-brent-def (previous step)

m0 = n1 + m, 2 ^ n = m0 + 1, cyclic(r, H), reachable-n(H, m, r, r0), reachable-n(H, n0, r0, r0), reachable-n(H, n0 + m, r, r0), reachable-n(H, m0, r, r1), m ≤ m0, n0 ≤ m0, n0 ≤ m0 + 1 ⊦ n0 = 0, reachable-n(H, n0, r1, r1), reachable-n(H, n1, r0, r1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
2 ^ n = (n1 + m) + 1, cyclic(r, H), reachable-n(H, m, r, r0), reachable-n(H, n0, r0, r0), reachable-n(H, n0 + m, r, r0), reachable-n(H, n1 + m, r, r1), n0 ≤ n1 + m, n0 ≤ 2 ^ n ⊦ n0 = 0, reachable-n(H, n0, r1, r1), reachable-n(H, n1, r0, r1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m ≤ m + n])]]