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Proof step 13 from proof exactarray-put-01 (conclusion)

⊦ sk ≠ _type ∧ goodfieldandtype(r0, sk, st) ∧ oktype(val0, sk .fs .type, st) ∧ sk ≠ _length → (exactarray(val, ty, i, st[r0 -- sk, val0]) ↔ exactarray(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:
⊦ oktype(val, ty, st) ↔ okval(val, ty)
Proof step 12:
is_fskey(sk), r0 -- sk ∈ st, okval(st[r0 -- sk], sk .fs .type), okval(val0, sk .fs .type), r0 ∈ st ⊦ exactarray(val, ty, i, st[r0 -- sk, val0]) ↔ exactarray(val, ty, i, st), sk = _length, sk = _type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]