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Proof step 16 from proof isobj-put-samefield (conclusion)

⊦ r -- fs ' ∈ st ∧ oktype(st[r -- fs '], fs .type, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _type → (is_obj(r, st[r -- fs ', val]) ↔ is_obj(r, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ is_obj(r, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _type → is_obj(r, st[r -- fs ', val])
Proof step 15:
is_obj(r, st[r -- fs ', val]), r -- fs ' ∈ st, okval(st[r -- fs '], fs .type), okval(val, fs .type), r ∈ st ⊦ fs ' = _type, is_obj(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ oktype(val, ty, st) ↔ okval(val, ty)])]]