Theorems · Definition · order theory
AntisymmRel.setoid
(α : Type u_1) → (r : α → α → Prop) → [IsPreorder α r] → Setoid α
The antisymmetrization relation as an equivalence relation.
- Defined in
- Mathlib.Order.Antisymmetrization
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- IsPreorder
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.
- AntisymmRelproof · cited by 93
- IsPreorderstatement and proof · cited by 20
Cited by10
Results whose statement or proof uses this declaration.
- Antisymmetrizationproof · cited by 25
- toAntisymmetrizationproof · cited by 12
- liftFun_antisymmRelstatement · cited by 3
- Antisymmetrization.prodEquivproof · cited by 2
- wellFoundedGT_antisymmetrization_iffproof · cited by 0
- AntisymmRel.setoid_rstatement · cited by 0
- OrderHom.coe_antisymmetrizationstatement · cited by 0
- OrderHom.antisymmetrization_applystatement · cited by 0
- Antisymmetrization.prodEquiv_apply_mkstatement · cited by 0
- Antisymmetrization.prodEquiv_symm_apply_mkstatement · cited by 0