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Proof step 31 from proof validval-putrkvs (previous step)

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) ⊦ validrefval(str, val, st[r -- _type] .type .type, st[rkvs])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ validrefval(str, val, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st)
Proof step 30:
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) ⊦ is_referencevalue(val) ∧ validref(str, val .refval, st[r -- _type] .type .type, st[rkvs])

Rule argument

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

Additional information

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