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Proof step 41 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])) ⊦ compatfields(str, jvmref, statfields(class), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ compatfields(str, r, sks, st) ↔ (∀ sk. sk ∈ sks → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st))
Proof step 40:
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)

Rule argument

[crewrite-arg: fields-compat , F , [st, sks, r, str] → [st, statfields(class), jvmref, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, statfields(class), jvmref, str)]]