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Proof step 52 from proof validrefnotnull-union-at-right (previous step)

validrefnotnull(str, r, mkclasstype(class), st0), sk ∈ instfields(class), is_fskey(sk) ⊦ (st ∪ st0)[r -- sk] = st0[r -- sk], r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]
Proof step 51:
¬ r -- sk ∈ st0, validrefnotnull(str, r, mkclasstype(class), st0), sk ∈ instfields(class), is_fskey(sk) ⊦ (st ∪ st0)[r -- sk] = st0[r -- sk], r = jvmref

Rule argument

[speclemmaarg: ,rk ∈ st0 → (st ∪ st0)[rk] = st0[rk] ,[rk, st0, st] → [r -- sk, st0, st] ,F ,storefunsx , ,union-at-right-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- sk, st0, st)]]