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Proof step 4 from proof getintarray-max-rec-01 (previous step)

st[r -- i '] .intval ≤ max(getintarray(r, 0, i, st)), 0 < i ⊦ max(getintarray(r, 0, i, st) + st[r -- i '] .intval ') = max(getintarray(r, 0, i, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i ≤ max(ints) ∧ ints ≠ [] → max(ints + i ') = max(ints)
Proof step 3:
⊦ getintarray(r, i, j, st) = [] ↔ j ≤ 0

Rule argument

[x0lemmaarg: spec-name: intlist instance-name: lemma-name: max-last-not-max antecedent: succedent: i ≤ max(ints) ∧ ints ≠ [] → max(ints + i ') = max(ints) substlist: [i, ints] → [st[r -- i '] .intval, getintarray(r, 0, i, st)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : int-abs, , lels-03, ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (st[r -- i '] .intval, getintarray(r, 0, i, st))]]