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Proof step 17 from proof union-addarray-rew (previous step)

fs ' = _length, newref(r0, st0), newref(r0, st) ⊦ r0 = jvmref, intval(n→i(# vals)) = (st ∪ addarray(r0, ty, vals, st0))[r0 -- _length]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]
Proof step 15:
⊦ r -- _length ∈ addarray(r, ty, vals, st)
Proof step 16:
⊦ (addarray(r, ty, vals, st)[r -- _length]) = intval(n→i(# vals))

Rule argument

[speclemmaarg: ,rk ∈ st0 → (st ∪ st0)[rk] = st0[rk] ,[rk, st0, st] → [r0 -- _length, addarray(r0, ty, vals, st0), st] ,F ,storefunsx , ,union-at-right-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk]], [CSIMPSEQ : ⊦ intval(i) = intval(i0) ↔ i = i0])], [EXTRATERMS : (r0 -- _length, addarray(r0, ty, vals, st0), st)]]