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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: validmode, F, [st, str] → [st[rkvs], str]]

Additional information

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