Theorems · Theorem · order theory
ge_antisymm
∀ {α : Type u_1} [inst : PartialOrder α] {a b : α}, b ≤ a → a ≤ b → a = b- Defined in
- Mathlib.Order.Defs.PartialOrder
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- le_antisymmproof · cited by 2,068
Cited by51
Results whose statement or proof uses this declaration.
- lt_of_le_of_ne'proof · cited by 149
- inf_commproof · cited by 139
- LE.le.antisymm'proof · cited by 104
- iInf_posproof · cited by 31
- iInf_negproof · cited by 27
- sInf_eq_iInfproof · cited by 22
- Finset.inf_eq_iInfproof · cited by 19
- iInf_andproof · cited by 15
- iInf_subtypeproof · cited by 12
- iInf_commproof · cited by 12
- iInf_iInf_eq_leftproof · cited by 12
- Finset.inf'_eq_infproof · cited by 12