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Theorem addarrays-length-01

posints(ints), ints ≠ [] ⊦ 1 + n→i(# refs) = countrefs(ints) ∧ newref(r, st) ∧ is_newref_list(refs, st) ∧ ¬ r ∈ refs → (addarrays(r ' + refs, ty, ints, 0, st)[r -- _length]) = intval(ints .first)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: addarrays-length,
Used spec theorems:
- storefuns/newrefs-rec
Used simplifier rules:
- list/intlista/e
- list/intlista/app-02-ant
- int-basic2/add-c
- list/references/len
- list/references/len-02
- list/references/a
- intnat/n2i-add
- nat-basic2/a
- nat-basic2/c
- list/intlista/c-08
- javavalue/inj-04
- int-abs/forward-le-01
- valuesfuns/posints-rec
- list/intlista/a
- list/intlista/e-01
- list/intlista/c
- storefuns/newref-01
- list-data/intlista/elim-list-c