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Proof step 2 from proof mode-01 (conclusion)

r ≠ jvmref ⊦ goodfieldandtype(r, sk, st[_mode, 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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ r ≠ jvmref → (st[_mode, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r ≠ jvmref → ( r -- sk ∈ st[_mode, val] ↔ r -- sk ∈ st)])]]