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Proof step 4 from proof good-field-put (conclusion)

⊦ goodfieldandtype(r, sk, st[r0 -- i ', val]) ↔ goodfieldandtype(r, sk, 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 3:
⊦ is_fskey(sk) ∧ r -- sk ∈ st[r0 -- i ', val] ∧ okval(st[r0 -- i ', val][r -- sk], sk .fs .type) ↔ ¬ is_indexkey(sk) ∧ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]