Theorems · Theorem · order theory
WCovBy.covBy_of_not_le
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a ⩿ b → ¬b ≤ a → a ⋖ b- Defined in
- Mathlib.Order.Cover
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Preorder
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.
- Preorderstatement and proof · cited by 7,952
- CovBystatement · cited by 290
- WCovBystatement and proof · cited by 107
- LE.le.lt_of_not_geproof · cited by 21
- WCovBy.leproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- wcovBy_iff_covBy_or_le_and_leproof · cited by 3
- covBy_iff_wcovBy_and_not_leproof · cited by 0