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Theorem max-gt-app

⊦ x1 ≠ [] ∧ y = x0 + x1 → ¬ max(y) < max(x1)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: max-app,
Used spec theorems:
- Used simplifier rules:
  - list/intlist/a
  - list/intlist/Nil
  - int-min/max-01
  - int-basic1/irref
  - int-min/max-a
  - int-min/max-c