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Proof step 33 from proof validval-putrkvs (previous step)

sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), validvals(str, rkvs, st), validval(str, val, st[r -- _type] .type .type, st) ⊦ okval(val, st[r -- _type] .type .type) ∧ (is_referencevalue(val) → validrefval(str, val, st[r -- _type] .type .type, st[rkvs]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 32:
sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), validvals(str, rkvs, st), okval(val, st[r -- _type] .type .type) ∧ (is_referencevalue(val) → validrefval(str, val, st[r -- _type] .type .type, st)) ⊦ okval(val, st[r -- _type] .type .type) ∧ (is_referencevalue(val) → validrefval(str, val, st[r -- _type] .type .type, st[rkvs]))

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, st[r -- _type] .type .type, val, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type .type, val, str)]]