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Proof step 26 from proof compatfields-mode (previous step)

⊦ r = jvmref, (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st[_mode, val])) ↔ (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
⊦ r = jvmref, (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st[_mode, val])) ↔ (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st))

Rule argument

[emptyarg]

Additional information

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