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Proof step 8 from proof multi-mode (previous step)

∀ i, ints0, refs, st, ty, r, ints1. ints#(ints1) < ints#(ints) → (true → (addarraymultlist(r, ty, st, refs, ints1, ints0, i)[_mode]) = st[_mode]) ⊦ ints ≠ [], # ints = 1, (addarraymultlist(r, ty, st, refs, ints, ints0, i)[_mode]) = st[_mode], ints ≠ [] ∧ ¬ 0 < ints .first, ints ≠ [] ∧ ¬ ints .first < 2, ints ≠ [] ∧ ints .first = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ i, ints0, refs, st, ty, r, ints1. ints#(ints1) < ints#([]) → (true → (addarraymultlist(r, ty, st, refs, ints1, ints0, i)[_mode]) = st[_mode]) ⊦ (addarraymultlist(r, ty, st, refs, [], ints0, i)[_mode]) = st[_mode]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ # [] = 0])]]