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Proof step 132 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), is_indexkey(sk), okval(val0, st[r -- _type] .type .type), is_referencevalue(val0), validrefval(str, val0, st[r -- _type] .type .type, st) ⊦ r -- _type = rk, validrefval(str, val0, st[r -- _type] .type .type, st[rk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 76:
⊦ validrefval(str, val, ty, st) ↔ is_referencevalue(val) ∧ validref(str, val .refval, ty, st)
Proof step 131:
sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), is_indexkey(sk), okval(val0, st[r -- _type] .type .type), is_referencevalue(val0), validrefval(str, val0, st[r -- _type] .type .type, st) ⊦ r -- _type = rk, is_referencevalue(val0) ∧ validref(str, val0 .refval, st[r -- _type] .type .type, st[rk, val])

Rule argument

[crewrite-arg: validrefval-def , F , [st, ty, val, str] → [st[rk, val], st[r -- _type] .type .type, val0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[rk, val], st[r -- _type] .type .type, val0, str)]]