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Proof step 3 from proof okarray-put (conclusion)

⊦ sk ≠ _type ∧ goodfieldandtype(r0, sk, st) ∧ oktype(val0, sk .fs .type, st) ∧ sk ≠ _length → (okarray(val, ty, i, st[r0 -- sk, val0]) ↔ okarray(val, ty, i, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ goodfieldandtype(r, sk, st) ↔ ¬ ¬ (is_fskey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type))
Proof step 2:
⊦ sk ≠ _length ∧ sk ≠ _type ∧ is_fskey(sk) → (okarray(val, ty, i, st[r -- sk, val0]) ↔ okarray(val, ty, i, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]