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Theorem max-app-ls-01

⊦ max(ints1 + ints0) < max(ints1) ↔ ints1 = [] ∧ max(ints0) < 0

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: 1
Proof steps: 2
Used lemmas: max-app, max-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/zero-gels-01
  - int-min/max-01
  - oelem/intlista/irreflexivity
  - int-min/max-a
  - int-min/max-c
  - list/intlista/app
  - list/intlista/a
  - int-abs/lels
  - int-abs/forward-le-01
  - list/intlista/Nil
  - int-abs/lenls