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Proof step 29 from proof validref-putrkvs (previous step)

sk .fs = mkfs(class, ty0, fieldvar), st[r0 -- _type] .type = mkarraytype(void_type), validref(str, r, ty, st), validvals(str, rkvs0, st), is_indexkey(sk), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- sk, refval(jvmref)]), validref(str, r, ty, st[r0 -- sk, refval(jvmref)][rkvs0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ is_indexkey(sk) ↔ (∃ i. sk = i ')
Proof step 28:
sk .fs = mkfs(class, ty0, fieldvar), st[r0 -- _type] .type = mkarraytype(void_type), validref(str, r, ty, st), validvals(str, rkvs0, st), ∃ i. sk = i ', ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- sk, refval(jvmref)]), validref(str, r, ty, st[r0 -- sk, refval(jvmref)][rkvs0])

Rule argument

[speclemmaarg: ,is_indexkey(sk) ↔ (∃ i. sk = i ') ,[sk] → [sk] ,F ,storekey , ,ex-04 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk)]]