Theorems · Theorem · order theory
CovBy.le_of_lt
∀ {α : Type u_1} [inst : LinearOrder α] {a b c : α}, a ⋖ b → c < b → c ≤ a- Defined in
- Mathlib.Order.Cover
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CovBystatement and proof · cited by 290
- CovBy.wcovByproof · cited by 15
- WCovBy.le_of_ltproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- countable_setOfPred_covBy_rightproof · cited by 3
- IsGLB.isPredPrelimit_of_notMemproof · cited by 2
- covBy_iff_lt_iff_le_leftproof · cited by 1
- CovBy.Ioo_eq_Iocproof · cited by 1
- CovBy.unique_leftproof · cited by 0