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Proof step 12 from proof validref-put-norefval-equiv (previous step)

okval(st[r1 -- mkfs(class, ty0, fieldvar) '], ty0), r1 -- mkfs(class, ty0, fieldvar) ' ∈ st, okval(val, ty0), r1 ∈ st ⊦ validref(str, r, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) ↔ validref(str, r, ty, st), mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, is_referencevalue(val)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ is_referencevalue(val) ∧ validref(str, r, ty, st) ∧ is_fskey(sk) ∧ oktype(val, sk .fs .type, st) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length → validref(str, r, ty, st[r1 -- sk, val])
Proof step 11:
¬ ( ¬ is_referencevalue(val) ∧ validref(str, r, ty, st) ∧ is_fskey(mkfs(class, ty0, fieldvar) ') ∧ oktype(val, mkfs(class, ty0, fieldvar) ' .fs .type, st) ∧ mkfs(class, ty0, fieldvar) ' .fs .type ≠ void_type ∧ mkfs(class, ty0, fieldvar) ' ≠ _length), okval(st[r1 -- mkfs(class, ty0, fieldvar) '], ty0), r1 -- mkfs(class, ty0, fieldvar) ' ∈ st, okval(val, ty0), r1 ∈ st ⊦ validref(str, r, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) ↔ validref(str, r, ty, st), mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, is_referencevalue(val)

Rule argument

[crewrite-arg: validref-put-norefval , F , [val, sk, r1, st, ty, r, str] → [val, mkfs(class, ty0, fieldvar) ', r1, st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar) ', r1, st, ty, r, str)]]