Theorems · Theorem · order theory
PartialOrder.le_antisymm
∀ {α : Type u_2} [self : PartialOrder α] (a b : α), a ≤ b → b ≤ a → a = b- Defined in
- Mathlib.Order.Defs.PartialOrder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- PartialOrder
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.
- PartialOrderstatement and proof · cited by 6,410
Cited by3
Results whose statement or proof uses this declaration.
- le_antisymmproof · cited by 2,068
- specializationOrderproof · cited by 3
- PartialOrder.ofSetLikeproof · cited by 0