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Proof step 5 from proof validref-putrkvs-norefval (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ okval(st[r1 -- sk], sk .fs .type) ∧ r1 -- sk ∈ st ∧ ¬ is_referencevalue(val) ∧ is_fskey(sk) ∧ okval(val, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ sk ≠ _length → (validref(str, r, ty, st[r1 -- sk, val]) ↔ validref(str, r, ty, st))

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk]], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ rk ∈ st[rkvs] ↔ rk ∈ st ∨ rk ∈ rkvs], [CSIMPSEQ : ⊦ is_fskey(fs ')])], [EXTRATERMS : (val, mkfs(class, ty0, fieldvar) ', r1, st[rkvs], ty, r, str)]]