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Proof step 5 from proof validref-put-samefield (previous step)

is_obj(r, st[r -- mkfs(class, ty, fieldvar) ', val]), r ∈ st, oktype(val, ty, st), oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), r -- mkfs(class, ty, fieldvar) ' ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, is_array(r, st), is_obj(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 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))

Rule argument

[crewrite-arg: isobj-put-samefield , F , [val, fs, st, r] → [val, mkfs(class, ty, fieldvar), st, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (val, mkfs(class, ty, fieldvar), st, r)]]