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Proof step 49 from proof putarray-add-same (previous step)

⊦ (rk ∈ putArray(vals, r, addarray(r, ty, n→i(# vals), st)) ↔ rk ∈ addarray(r, ty, vals, st)) ∧ (putArray(vals, r, addarray(r, ty, n→i(# vals), st))[rk]) = (addarray(r, ty, vals, st)[rk])

User applied rule structural induction

And obtained the following new goals

Proof step 48:
⊦ (r0 -- sk ∈ putArray(vals, r, addarray(r, ty, n→i(# vals), st)) ↔ r0 -- sk ∈ addarray(r, ty, vals, st)) ∧ (putArray(vals, r, addarray(r, ty, n→i(# vals), st))[r0 -- sk]) = (addarray(r, ty, vals, st)[r0 -- sk])

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkey generated by --;])]]