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Proof step 3 from proof gft-out-01 (previous step)

⊦ mkfs(`java.lang.Object' .class, void_type, `out' .field) ' = sk0, goodfieldandtype(r0, sk0, st[jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ', val]) ↔ goodfieldandtype(r0, sk0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ sk ≠ _type ∧ sk ≠ sk0 → (goodfieldandtype(r0, sk0, st[jvmref -- sk, val]) ↔ goodfieldandtype(r0, sk0, st))

Rule argument

[crewrite-arg: gft-null , F , [val, sk, st, sk0, r0] → [val, mkfs(`java.lang.Object' .class, void_type, `out' .field) ', st, sk0, r0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ jvmref -- mkfs (`java.lang.Object' .class, void_type, `out' .field) ' = _out], [CSIMPFORWARD : ⊦ _type = mkfs(class1, ty, fieldvar) ' → class1 = `java.lang.Object' .class ∧ ty = void_type ∧ fieldvar = `type' .field], [CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0])], [EXTRATERMS : (val, mkfs (`java.lang.Object' .class, void_type, `out' .field) ', st, sk0, r0)]]