Theorems · Theorem · order theory
List.Shortlex.of_cons
∀ {α : Type u_1} {r : α → α → Prop} [Std.Irrefl r] {a : α} {s t : List α},
List.Shortlex r (a :: s) (a :: t) → List.Shortlex r s tAlias of the forward direction of List.shortlex_cons_iff.
- Defined in
- Mathlib.Data.List.Shortlex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Std.Irrefl
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- List.Shortlexstatement · cited by 13
- List.shortlex_cons_iffproof · cited by 2
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