Theorems · Theorem · order theory
WithBot.coe_covBy_coe
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, ↑b ⋖ ↑a ↔ b ⋖ a- Defined in
- Mathlib.Order.Cover
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
- CovBystatement · cited by 290
- Set.OrdConnectedproof · cited by 161
- WithBot.range_coeproof · cited by 15
- Set.OrdConnected.apply_covBy_apply_iffproof · cited by 8
- WithBot.coeOrderHomproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- WithBot.isPredPrelimit_iffproof · cited by 2
- Order.IsPredPrelimit.withBotCoeproof · cited by 1
- WithBot.isSuccPrelimit_iffproof · cited by 1