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Proof step 24 from proof compat-addclass (previous step)

fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, compatmode(str, st[_mode], 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 5:
⊦ ¬ _mode .key ∈ fis → (addclass(class, fis, st)[_mode]) = st[_mode]
Proof step 10:
¬ ¬ _mode .key ∈ fis, fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, compatmode(str, st[_mode], st) ⊦ compatmode(str, addclass(class, fis, st)[_mode], addclass(class, fis, st))
Proof step 23:
¬ _mode .key ∈ fis, fis .keys = statfields(class), okfieldinits(class, fis), compatrefs(str, st), compatstatic(str, st), _mode ∈ st, compatmode(str, st[_mode], st) ⊦ compatmode(str, st[_mode], addclass(class, fis, st))

Rule argument

[speclemmaarg: ,¬ _mode .key ∈ fis → (addclass(class, fis, st)[_mode]) = st[_mode] ,[st, fis, class] → [st, fis, class] ,F ,addfuns , ,ac-mode-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis, class)]]