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Theorem validrefs-applast-array

⊦ validrefs(str, refs + r ', ty, st) ∧ st[r -- i '] .refval = r0 ∧ is_array(str, r, st) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ st[r0 -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, r0, st) ∧ type∃(str, st[r0 -- _type] .type) → validrefs(str, refs + r ' + r0 ', ty, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: validrefs-one, validrefs-array, validrefs-append-01,
Used spec theorems:
- Used simplifier rules:
  - javavalue/sel-09
  - int-abs/lels-03
  - int-abs/lels-04
  - list/references/first
  - int-abs/lels
  - int-abs/lels-01
  - typefuns/ref
  - list/references/c-07
  - list/references/e
  - list/references/app-02-ant
  - list/references/c-08
  - list-last/references/last-def
  - list/references/a
  - javavalue/test-19
  - int-abs/forward-le-01
  - int-abs/forward-le-05
  - valuefuns/refval-xtra
  - addfuns/is_valid_ref-null
  - javavalue/elim-refval