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Proof step 11 from proof get-mklist-01 (previous step)

n ≠ 0, m0 + 1 < n, ∀ n, a. m0 < n → mklist(a, n)[m0] = a ⊦ mklist(a, n -1)[m0] = a

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: n -1, a abort: F discard: T computed: T

Additional information

Used simplifier rules: pred-03: ⊦ n -1 = n - 1; from specification nat%f: ⊦ m < n → n ≠ 0; from specification nat-basic1%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat%one-01: ⊦ m < 1 ↔ m = 0; from specification nat-basic1%ls: n0 ≤ n ⊦ m < n - n0 ↔ m + n0 < n; from specification nat Used terms: n -1, a