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Theorem disjoint-forward-array

⊦ r ∈ refs ∧ r1 ∈ refs ∧ r ≠ r1 ∧ ¬ junkref(str, r1, st) ∧ ¬ disjoint(str, (refs -l r1) + st[r1 -- i '] .refval, st) ∧ 0 ≤ i ∧ i < st[r1 -- _length] .intval ∧ r1 ≠ jvmref ∧ is_arraytype(st[r1 -- _type] .type) → ¬ disjoint(str, refs, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: disjoint-forward-array-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 40
Used lemmas: disjoint-def-pathex,
Used spec theorems:
Used simplifier rules:
- javatype/sel-01
- javavalue/sel-09
- int-abs/lels-03
- int-abs/lels-04
- javatype/test-09
- javatype/elim-01
- int-abs/lels
- int-abs/lels-01
- addfuns/is_valid_ref-array-01
- cyclic/pathex-one
- javavalue/test-19
- valuefuns/refval-xtra
- cyclic/pathex-null
- javavalue/elim-refval
- list-del/references/in
- list-del/references/in-01
- list/references/a
- list/references/in-17
- list/references/in-append
- int-abs/forward-le-01
- int-abs/forward-le-05
- list/references/Last