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Proof step 26 from proof max-perm (previous step)

i ∈ ints0, perm(ints1, ints0 -1l i), max(ints0 -1l i) ≤ i ⊦ ints1 = [], i = max(ints0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ i < max(ints) → max(ints -1l i) = max(ints)

Rule argument

spec: inst: name: max-del1 seq: ⊦ i < max(ints) → max(ints -1l i) = max(ints) subst: [i, ints] → [i, ints0] flags: rewrite, current

Additional information

Used simplifier rules: max-in-not-ls: ⊦ i ∈ ints → ¬ max(ints) < i;%lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs%lst-01: ⊦ ¬ i < j → (i ≠ j ↔ j < i); from specification int-basic1 Used terms: i, ints0