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Proof step 4 from proof is_obj-put-badfield (previous step)

class+∃(str, st[r -- _type] .type .class), is_obj(r, st) ⊦ fs ' = _type, is_obj(str, r, st[r -- fs ', val]), fs ' ∈ instfields(st[r -- _type] .type .class), is_abstract(st[r -- _type] .type .class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 3:
⊦ is_obj(r, st) ∧ fs ' ≠ _type ∧ ¬ fs ' ∈ instfields(st[r -- _type] .type .class) → is_obj(r, st[r -- fs ', val])

Rule argument

[crewrite-arg: is-real-object-def , F , [st, r, str] → [st[r -- fs ', val], r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]])], [EXTRATERMS : (st[r -- fs ', val], r, str)]]