Theorems · Definition · order theory
WithBotTop
Type u_1 → Type u_1
The type obtained by adding both ⊥ and ⊤ to a type.
- Defined in
- Mathlib.Order.WithBotTop
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by40
Results whose statement or proof uses this declaration.
- EIntproof · cited by 119
- CategoryTheory.Triangulated.TStructure.eTruncLTproof · cited by 62
- CategoryTheory.Triangulated.TStructure.eTruncGEproof · cited by 57
- WithBotTop.coestatement · cited by 43
- WithBotTop.recstatement and proof · cited by 13
- CategoryTheory.Triangulated.TStructure.eTruncGEδLTproof · cited by 11
- CategoryTheory.Abelian.SpectralObject.IsFirstQuadrant.isZero₂statement · cited by 1
- CategoryTheory.Abelian.SpectralObject.IsThirdQuadrant.isZero₁statement · cited by 1
- CategoryTheory.Triangulated.TStructure.eTruncLT_map_eq_truncLTιstatement · cited by 0
- WithBotTop.coe_injectivestatement · cited by 0
- WithBotTop.coe_le_coestatement · cited by 0
- WithBotTop.coe_lt_coestatement · cited by 0