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Proof step 34 from proof add-gft (previous step)

is_fskey(sk) ⊦ r = r0, r0 -- sk ∈ addarray(r, ty, vals, st) ∧ oktype(addarray(r, ty, vals, st)[r0 -- sk], sk .fs .type, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, sk, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ r ≠ r0 → (r -- sk ∈ addarray(r0, ty, vals, st) ↔ r -- sk ∈ st)
Proof step 6:
⊦ r ≠ r0 → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 33:
is_fskey(sk) ⊦ r = r0, r0 -- sk ∈ st ∧ oktype(st[r0 -- sk], sk .fs .type, addarray(r, ty, vals, st)) ↔ goodfieldandtype(r0, sk, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]