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Proof step 3 from proof out-1init-01 (previous step)

⊦ (addarray(r, ty, vals, st)[jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ']) = st[jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[crewrite-arg: add-at-04 , F , [sk, r0, st, vals, ty, r] → [mkfs(`java.lang.Object' .class, void_type, `out' .field) ', jvmref, st, vals, ty, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ jvmref -- mkfs (`java.lang.Object' .class, void_type, `out' .field) ' = _out], [CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPFORWARD : ⊦ mkfs(class1, ty, fieldvar) ' = _length → class1 = `*Array*' .class ∧ ty = int_type ∧ fieldvar = `length' .field], [CSIMPSEQ : ⊦ stringvar .field = stringvar0 .field ↔ stringvar = stringvar0], [CSIMPFORWARD : ⊦ _type = mkfs(class1, ty, fieldvar) ' → class1 = `java.lang.Object' .class ∧ ty = void_type ∧ fieldvar = `type' .field])], [EXTRATERMS : (mkfs (`java.lang.Object' .class, void_type, `out' .field) ', jvmref, st, vals, ty, r)]]