Theorems · Theorem · order theory
WCovBy.le_and_le_iff
∀ {α : Type u_1} [inst : PartialOrder α] {a b c : α}, a ⩿ b → (a ≤ c ∧ c ≤ b ↔ c = a ∨ c = b)- Defined in
- Mathlib.Order.Cover
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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_rflproof · cited by 1,558
- WCovBystatement and proof · cited by 107
- WCovBy.leproof · cited by 15
- WCovBy.eq_or_eqproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- WCovBy.Icc_eqproof · cited by 3