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Proof step 38 from proof multi-field (previous step)

refs = r0 + refs1 ∧ refs ≠ [], # refs = 1, 0 ≤ i0, 0 ≤ i, i ≤ i0, ∀ r, st, ty, acc, ints, i, fs, refs0. # refs0 < 1 → ( true → ( fs ' ≠ _type ∧ fs ' ≠ _length ∧ # refs0 = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → (addmultiarrays(refs0, i, acc, ty, ints, st)[r -- fs ']) = st[r -- fs '])) ⊦ (addarray(r0, ty, i0, st)[r -- fs ']) = st[r -- fs '], fs ' = _type, fs ' = _length

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
i ≤ i0, 0 ≤ i, 0 ≤ i0, ∀ r, st, ty, acc, ints, i, fs, refs0. # refs0 < 1 → ( true → ( fs ' ≠ _type ∧ fs ' ≠ _length ∧ # refs0 = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → (addmultiarrays(refs0, i, acc, ty, ints, st)[r -- fs ']) = st[r -- fs '])) ⊦ fs ' = _length, fs ' = _type, (addarray(r0, ty, i0, st)[r -- fs ']) = st[r -- fs ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ # refs = 0 ↔ refs = []], [CSIMPSEQ : ⊦ 1 = m + 1 ↔ m = 0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ # r ' = 0 +1], [CSIMPSEQ : ⊦ # (refs + refs0) = # refs + # refs0], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]