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Proof step 56 from proof cyclic-floyd-def (previous step)

reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ n = 0, ∃ n, r0. n ≠ 0 ∧ reachable-n(H, n, r, r0) ∧ reachable-n(H, 2 * n, r, r0)

User applied rule cut formula

And obtained the following new goals

Proof step 6:
m = 0, reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ n = 0, ∃ n, r0. n ≠ 0 ∧ reachable-n(H, n, r, r0) ∧ reachable-n(H, 2 * n, r, r0)
Proof step 55:
reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ m = 0, n = 0, ∃ n, r0. n ≠ 0 ∧ reachable-n(H, n, r, r0) ∧ reachable-n(H, 2 * n, r, r0)

Rule argument

[fma-arg: m = 0]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (m = 0)]]