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Proof step 29 from proof compat-put (previous step)

compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), compatmode(str, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, _mode ∈ st ∧ compatmode(str, st[r -- mkfs(class, ty, fieldvar) ', val][_mode], st[r -- mkfs(class, ty, fieldvar) ', val])

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 28:
compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), _mode ∈ st ∧ compatmode(str, st[_mode], st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, _mode ∈ st ∧ compatmode(str, st[r -- mkfs(class, ty, fieldvar) ', val][_mode], st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

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

Additional information

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