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Theorem cyclic-addarray-this

⊦ newref(r, st) → ¬ cyclic(str, r, addarray(r, ty, i, st))

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: 5
Proof steps: 14
Used lemmas: validrefs-null-02, validrefs-array, validrefs-is-junk, cyclic-def-simple,
Used spec theorems:
- addfuns/is-valid-ref-stronger-def
Used simplifier rules:
- list/references/in-01
- int-abs/forward-le-05
- list/references/in-empty
- int-abs/forward-le-01
- javatype/sel-01
- javavalue/sel-09
- valuefuns/initial-value
- addarray/at-1dim
- javavalue/sel-04
- addarray/length-1dim
- addarray/is_obj-addarray-01
- int-abs/lels-04
- int-abs/lels-01
- addarray/is_array-addarray
- typefuns/ref
- typefuns/subarray1
- list-dup/references/rec
- list/references/a
- list/references/e-01
- list/references/c
- list-dup/references/e-01
- list-data/references/elim-list-c
- javavalue/sel-11
- addarray/type-1dim
- storefuns/newref-01