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Theorem lr-01

⊦ x ≠ [] ∧ y ≠ [] → # x.rest + # y.rest < # x + # y

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: 0
Proof steps: 2
Used lemmas: lr-02, size-02, disj-1, elim-list-c,
Used spec theorems:
- Used simplifier rules:
  - nat/lels
  - nat-basic2/succ
  - nat-basic2/a
  - nat/lep-02
  - nat/succ-01
  - nat-basic2/c