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Proof step 16 from proof is_obj-put-equiv (previous step)

sk .fs = mkfs(class, ty, fieldvar), okval(st[r1 -- sk], ty), r1 -- sk ∈ st, is_fskey(sk), okval(val, ty), r1 ∈ st ⊦ r -- _type = r1 -- sk, ty = void_type, class+∃(str, (st[r1 -- sk, val][r -- _type]) .type .class) ∧ ¬ is_abstract((st[r1 -- sk, val][r -- _type]) .type .class) ∧ is_obj(r, st[r1 -- sk, val]) ↔ is_obj(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ r ≠ r0 → (is_obj(r0, st[r -- sk, val]) ↔ is_obj(r0, st))
Proof step 8:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 15:
sk .fs = mkfs(class, ty, fieldvar), r1 ∈ st, okval(val, ty), is_fskey(sk), r1 -- sk ∈ st, okval(st[r1 -- sk], ty) ⊦ class+∃(str, st[r1 -- _type] .type .class) ∧ ¬ is_abstract(st[r1 -- _type] .type .class) ∧ is_obj(r1, st[r1 -- sk, val]) ↔ is_obj(str, r1, st), ty = void_type, _type = sk

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]