Theorems · Theorem · order theory
le_imp_eq_iff_le_imp_ge
∀ {α : Type u_2} [inst : PartialOrder α] {a b : α}, a ≤ b → a = b ↔ a ≤ b → b ≤ a- Defined in
- Mathlib.Order.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.le.antisymmproof · cited by 507
- Eq.geproof · cited by 375
Cited by1
Results whose statement or proof uses this declaration.
- UpperSet.infIrred_iff_of_finiteproof · cited by 1