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Proof step 51 from proof union-addarray-rew (previous step)

newref(r0, st), newref(r0, st0) ⊦ r0 = jvmref, fs ' = _type, fs ' = _length, (st ∪ st0)[r0 -- fs '] = (st ∪ addarray(r0, ty, vals, st0))[r0 -- fs ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 45:
⊦ ¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk]
Proof step 50:
¬ r0 -- fs ' ∈ st0, newref(r0, st), newref(r0, st0) ⊦ r0 = jvmref, fs ' = _type, fs ' = _length, st[r0 -- fs '] = (st ∪ addarray(r0, ty, vals, st0))[r0 -- fs ']

Rule argument

[speclemmaarg: ,¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk] ,[rk, st0, st] → [r0 -- fs ', st0, st] ,F ,storefunsx , ,union-at-left ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ r ∈ st → ¬ newref(r, st)])], [EXTRATERMS : (r0 -- fs ', st0, st)]]