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Proof step 80 from proof leninv-succ (previous step)

# nσ = ∞, nσ[m + 1] = nσ[m], stutf(nσ), ∀ m0. m < m0 → nσ[m0] = nσ[m] + 1 ⊦

User applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: m + 1 abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ m < n + 1 ↔ ¬ n < m; (s)% ⊦ ¬ n < n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m = m + n ↔ n = 0; (s) Used terms: m + 1