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Proof step 20 from proof validval-put-any (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
validref(str, r0, ty, st), is_reftype(ty), validval(str, val, ty0, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, validref(str, r0, ty, st[r1 -- mkfs(class0, ty0, fieldvar0) ', val]), (is_referencevalue(val) → validref(str, val .refval, ty0, st) ∧ is_reftype(ty0)) ∧ (¬ is_referencevalue(val) → okval(val, ty0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≠ void_type → mkfs(class, ty, fieldvar) ' ≠ _type], [CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]