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Proof step 136 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), validval(str, r -- sk, val0, st), is_indexkey(sk) ⊦ 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 74:
⊦ validval(str, r -- sk, val, st) ↔ (is_fskey(sk) → validval(str, val, sk .fs .type, st) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length) ∧ (is_indexkey(sk) → validval(str, val, st[r -- _type] .type .type, st))
Proof step 135:
sk .fs = mkfs(class, ty, fieldvar), validval(str, rk, val, st), (is_fskey(sk) → validval(str, val0, sk .fs .type, st) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length) ∧ (is_indexkey(sk) → validval(str, val0, st[r -- _type] .type .type, st)), is_indexkey(sk) ⊦ 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: validrefkeyval-def , F , [st, val, sk, r, str] → [st, val0, sk, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, val0, sk, r, str)]]