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Proof step 5 from proof validmode-noval-put (previous step)

st[_mode] = noval ⊦ rk = _mode, validmode(str, st[rk, val]) ↔ _mode ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validmode(str, st) ↔ _mode ∈ st ∧ validmode(str, st[_mode], st)
Proof step 4:
st[_mode] = noval ⊦ rk = _mode, _mode ∈ st[rk, val] ∧ validmode(str, st[rk, val][_mode], st[rk, val]) ↔ _mode ∈ st

Rule argument

[crewrite-arg: validmode-def, F, [st, str] → [st[rk, val], str]]

Additional information

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