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Proof step 4 from proof getarray-addarray (conclusion)

⊦ getarray(r, addarray(r, ty, vals, st)) = vals

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ getarray(r, st) = getarray(r, 0, st[r -- _length] .intval, st)
Proof step 2:
⊦ (addarray(r, ty, vals, st)[r -- _length]) = intval(n→i(# vals))
Proof step 3:
⊦ getarray(r, 0, n→i(# vals), addarray(r, ty, vals, st)) = vals

Rule argument

[speclemmaarg: ,getarray(r, st) = getarray(r, 0, st[r -- _length] .intval, st) ,[st, r] → [addarray(r, ty, vals, st), r] ,F ,storearrays , ,getArray-all ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ intval(i) .intval = i])], [EXTRATERMS : (addarray(r, ty, vals, st), r)]]