Theorems · Theorem · order theory
LinearOrder.le_total
∀ {α : Type u_2} [self : LinearOrder α] (a b : α), a ≤ b ∨ b ≤ aA linear order is total.
- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
Cited by2
Results whose statement or proof uses this declaration.
- le_totalproof · cited by 294
- Fintype.toCompleteLinearOrderproof · cited by 0