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

¬ ( ¬ r ∈ refs ∧ # refs = i→n(countrefs(i ' + (i0 ' + ints0) .rest)) ∧ i0 ' + ints0 ≠ [] ∧ 0 ≤ i ∧ posints(i0 ' + ints0) ∧ ¬ 0 ∈ (i0 ' + ints0) .butlast ∧ i ≤ (i0 ' + ints0) .first), # refs = i→n(countrefs(i ' + ints0)), 0 ≤ i0, posints(ints0), is_newref_list(refs, st), 0 ≤ i, r -- sk ∈ st, i ≤ i0, r ∈ st ⊦ st[r -- sk] = (addmultiarrays(refs, i, acc, ty, i0 ' + ints0, st)[r -- sk]), 0 ∈ (i0 ' + ints0) .butlast

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
# refs = i→n(countrefs(i ' + ints0)), 0 ≤ i0, posints(ints0), is_newref_list(refs, st), 0 ≤ i, r -- sk ∈ st, i ≤ i0, r ∈ st, r ∈ refs ⊦ st[r -- sk] = (addmultiarrays(refs, i, acc, ty, i0 ' + ints0, st)[r -- sk]), 0 ∈ (i0 ' + ints0) .butlast

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (i ' + ints) .first = i], [CSIMPSEQ : ⊦ posints(i ' + ints) ↔ 0 ≤ i ∧ posints(ints)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ' ≠ []], [CSIMPSEQ : ⊦ ¬ ints + ints0 ≠ [] ↔ ints = [] ∧ ints0 = []], [CSIMPSEQ : ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1], [CSIMPSEQ : ⊦ (i ' + ints) .rest = ints])]]