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Proof step 83 from proof validval-put-any (previous step)

sk .fs = mkfs(class, ty, fieldvar), ( is_fskey(mkfs(class0, ty0, fieldvar0) ') → validval(str, refval(r2), 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, refval(r2), st[r1 -- _type] .type .type, st)), is_indexkey(sk), okval(refval(r0), st[r -- _type] .type .type), validref(str, r0, st[r -- _type] .type .type, st), r ≠ r1 ∨ _type ≠ mkfs(class0, ty0, fieldvar0) ' ⊦ validref(str, r0, st[r -- _type] .type .type, st[r1 -- mkfs(class0, ty0, fieldvar0) ', refval(r2)]), validref(str, r2, ty0, st) ∧ is_reftype(ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 82:
sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), okval(refval(r0), st[r -- _type] .type .type), validref(str, r0, st[r -- _type] .type .type, st), validval(str, refval(r2), ty0, st) ⊦ mkfs(class0, ty0, fieldvar0) ' = _length, ty0 = void_type, validref(str, r0, st[r -- _type] .type .type, st[r1 -- mkfs(class0, ty0, fieldvar0) ', refval(r2)]), validref(str, r2, ty0, st) ∧ is_reftype(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 ')])]]