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Proof step 52 from proof validval-put-any (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
sk .fs = mkfs(class0, ty0, fieldvar0), validref(str, r0, ty, st), is_reftype(ty), is_indexkey(sk), validval(str, val, st[r1 -- _type] .type .type, st), r ≠ r1 ∨ _type ≠ sk ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, validref(str, r0, ty, st[r1 -- sk, val]), ( is_referencevalue(val) → validref(str, val .refval, st[r1 -- _type] .type .type, st) ∧ r1 ≠ jvmref ∧ is_arraytype(st[r1 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r1 -- _type] .type .type))) ∧ (¬ is_referencevalue(val) → okval(val, st[r1 -- _type] .type .type))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]