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Theorem validrefs-maxlen

⊦ validrefs(str, refs, ty, st) ∧ refs ≠ [] ∧ ¬ dups(refs) → # refs ≤ # st .refs + 1

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: max length: every reference + null could occur.
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 36
Used lemmas: validrefs-array, validrefs-delete-03, validrefs-class, validrefs-is-junk, validrefs-null,
Used spec theorems:
- addfuns/is-valid-ref-stronger-def
- storefunsx/refs-def
Used simplifier rules:
- okfuns/is_array-notin
- int-abs/forward-le-01
- int-abs/forward-le-05
- list/references/in-01
- storefuns/del-notin-01
- addfuns/is_obj-notin
- nat/ler
- nat/anti
- set-union/references/del-in
- set-union/references/size-del-leq
- nat/let
- storefunsx/refs-del
- javavalue/test-19
- javavalue/elim-13
- fieldspec/elim
- list/references/in-06
- nat/lels
- nat-basic2/s
- list-data/references/elim-list-c
- list-data/references/l
- nat-basic1/f
- list-dup/references/dups-cons
- nat-basic2/c
- nat-basic2/a
- nat/lels-01
- nat/lep-02
- list/references/len-02
- list/references/len
- list/references/a
- list/references/e-01
- list/references/c