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Theorem size-del-nodups

⊦ ¬ dups(x) ∧ a ∈ x → #(x -l a) = # x - 1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 8
Used lemmas: del-n, in-03, del-y, del-e,
Used spec theorems:
- Used simplifier rules:
  - nat/elim-pred-c
  - list-dup/rec
  - list/in-rec
  - list/e-01
  - nat-basic2/eq-01
  - list/a
  - nat-basic2/succ
  - list/len-05
  - list/c
  - list-data/size-01
  - list/in-empty
  - nat/lels-01
  - nat-basic1/one-01
  - list-data/l
  - nat/eq-02
  - nat-basic2/c
  - nat-basic2/a