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Proof step 11 from proof validrefkeynotnull-refval-in (previous step)

validrefkeynotnull(str, r -- sk, ty, st) ⊦ st[r -- sk] .refval ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validrefkeynotnull(str, rk, ty, st) ↔ rk ∈ st ∧ validrefvalnotnull(str, st[rk], ty, st)
Proof step 10:
r -- sk ∈ st ∧ validrefvalnotnull(str, st[r -- sk], ty, st) ⊦ st[r -- sk] .refval ∈ st

Rule argument

[crewrite-arg: validrefkeynotnull-def , F , [st, ty, rk, str] → [st, ty, r -- sk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r -- sk, str)]]