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Proof step 26 from proof compat-addclass (previous step)

fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), compatmode(str, st) ⊦ _mode ∈ addclass(class, fis, st) ∧ compatmode(str, addclass(class, fis, st)[_mode], addclass(class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ compatmode(str, st) ↔ _mode ∈ st ∧ compatmode(str, st[_mode], st)
Proof step 25:
fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st ∧ compatmode(str, st[_mode], st) ⊦ _mode ∈ addclass(class, fis, st) ∧ compatmode(str, addclass(class, fis, st)[_mode], addclass(class, fis, st))

Rule argument

[crewrite-arg: mode-compat, F, [st, str] → [st, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, str)]]