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Proof step 31 from proof compat-put (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ compatmode(str, st) ↔ _mode ∈ st ∧ compatmode(str, st[_mode], st)
Proof step 30:
compat(str, val, ty, st), compatrefs(str, st), compatstatic(str, st), compatmode(str, st) ⊦ _mode ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ compatmode(str, st[r -- mkfs(class, ty, fieldvar) ', val][_mode], st[r -- mkfs(class, ty, fieldvar) ', val]), ty = void_type, mkfs(class, ty, fieldvar) ' = _length

Rule argument

[crewrite-arg: mode-compat , F , [st, str] → [st[r -- mkfs(class, ty, fieldvar) ', val], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, ty, fieldvar) ', val], str)]]