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Proof step 22 from proof addarrays-fieldat (previous step)

n→i(# refs) = countrefs(i0 ' + ints0), is_fskey(sk), posints(ints0), 0 ≤ i0 ⊦ sk = _length, sk = _type, (addmultiarrays(refs, i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st)[r -- sk]) = st[r -- sk]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_fskey(sk) ↔ (∃ fs. sk = fs ')
Proof step 21:
n→i(# refs) = countrefs(i0 ' + ints0), ∃ fs. sk = fs ', posints(ints0), 0 ≤ i0 ⊦ sk = _length, sk = _type, (addmultiarrays(refs, i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st)[r -- sk]) = st[r -- sk]

Rule argument

[speclemmaarg: ,is_fskey(sk) ↔ (∃ fs. sk = fs ') ,[sk] → [sk] ,F ,storekey , ,ex-03 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk)]]