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Proof step 134 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), is_indexkey(sk), validval(str, val0, st[r -- _type] .type .type, st) ⊦ r -- _type = rk, okval(val0, st[r -- _type] .type .type) ∧ (is_referencevalue(val0) → 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 75:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 133:
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, okval(val0, st[r -- _type] .type .type) ∧ (is_referencevalue(val0) → validrefval(str, val0, st[r -- _type] .type .type, st[rk, val]))

Rule argument

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

Additional information

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