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Theorem rm-size-02

⊦ a ∈ y → # rmdup(x + a ' + y) = # rmdup(x + y)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: rm-allsize, rm-size-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 12
Used lemmas: rm-ifrec, rmdup-y,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/c
  - list/in-rec
  - list/in-append
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/eq-01
  - list/a
  - nat-basic2/succ
  - list/len-05