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Proof step 205 from proof putarray-addarray-override (previous step)

¬ ( r0 ≠ r0 ∨ r0 = r0 ∧ is_fskey(fs ') ∧ fs ' ≠ _length ∧ fs ' ≠ _type ∨ r0 = r0 ∧ is_indexkey(fs ') ∧ (fs ' .index < 0 ∨ n→i(# (firstn(i→n(i), vals0) + vals + restn(i→n(i) + # vals, vals0))) ≤ fs ' .index)), 0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0) ⊦ (addarray(r0, ty, vals0, st)[r0 -- fs ']) = (addarray(r0, ty, firstn(i→n(i), vals0) + vals + restn(i→n(i) + # vals, vals0), st)[r0 -- fs '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 204:
0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0) ⊦ (addarray(r0, ty, vals0, st)[r0 -- fs ']) = (addarray(r0, ty, firstn(i→n(i), vals0) + vals + restn(i→n(i) + # vals, vals0), st)[r0 -- fs ']), fs ' ≠ _length ∧ fs ' ≠ _type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]