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Proof step 40 from proof compatstatic-mode (previous step)

initdone(class, st), tdname∃(str, class), class∃(str, class) ∨ interface∃(str, class) → (∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st[_mode, val] ∧ is_fskey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], sk .fs .type, st[_mode, val])) ⊦ ∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
sk ∈ statfields(class), initdone(class, st), tdname∃(str, class), class∃(str, class) ∨ interface∃(str, class) → (∀ sk. sk ∈ statfields(class) → jvmref -- sk ∈ st[_mode, val] ∧ is_fskey(sk) ∧ compat(str, st[_mode, val][jvmref -- sk], sk .fs .type, st[_mode, val])) ⊦ jvmref -- sk ∈ st ∧ ¬ is_indexkey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st)

Rule argument

[emptyarg]

Additional information

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