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Proof step 5 from proof putarray-subset-new-01 (previous step)

st[r0 -- sk] = (putArray(vals, r, i, st0)[r0 -- sk]), r0 -- sk ∈ st, r0 -- sk ∈ putArray(vals, r, i, st0), r0 ∈ st, r0 ∈ putArray(vals, r, i, st0) ⊦ r ∈ st, r0 -- sk ∈ st0 ∧ (putArray(vals, r, i, st0)[r0 -- sk]) = st0[r0 -- sk]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: putar-atref , F , [sk, r0, st, j, r, vals] → [sk, r0, st0, i, r, vals] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk, r0, st0, i, r, vals)]]