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Proof step 19 from proof validrefkeynotnull-has-field (previous step)

is_fskey(sk), sk ∈ instfields(class), validrefkeynotnull(str, rk, mkclasstype(class), st) ⊦ st[rk] .refval -- sk ∈ 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 18:
is_fskey(sk), sk ∈ instfields(class), rk ∈ st ∧ validrefvalnotnull(str, st[rk], mkclasstype(class), st) ⊦ st[rk] .refval -- sk ∈ st

Rule argument

[crewrite-arg: validrefkeynotnull-def , F , [st, ty, rk, str] → [st, mkclasstype(class), rk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkclasstype(class), rk, str)]]