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Proof step 91 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), sk0 .fs = mkfs(class0, ty0, fieldvar0), validref(str, r0, st[r -- _type] .type .type, st), okval(refval(r0), st[r -- _type] .type .type), is_indexkey(sk), validval(str, r1 -- sk0, val, st), is_fskey(sk0), r ≠ r1 ∨ _type ≠ sk0 ⊦ validref(str, r0, st[r -- _type] .type .type, st[r1 -- sk0, val]), (is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0)) ∧ (¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ sk0 ≠ _length)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 90:
sk0 = fs ', sk .fs = mkfs(class, ty, fieldvar), fs = mkfs(class0, ty0, fieldvar0), validref(str, r0, st[r -- _type] .type .type, st), okval(refval(r0), st[r -- _type] .type .type), is_indexkey(sk), validval(str, r1 -- sk0, val, st), is_fskey(sk0), r ≠ r1 ∨ _type ≠ sk0 ⊦ validref(str, r0, st[r -- _type] .type .type, st[r1 -- sk0, val]), (is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0)) ∧ (¬ is_referencevalue(val) → okval(val, ty0) ∧ ty0 ≠ void_type ∧ sk0 ≠ _length)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk0, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk0, fs)]]