Theorems · Definition · general topology
TopCat.GlueData.Rel
(D : TopCat.GlueData) → (i : D.J) × ↑(D.U i) → (i : D.J) × ↑(D.U i) → Prop
An equivalence relation on Σ i, D.U i that holds iff 𝖣.ι i x = 𝖣.ι j y.
See TopCat.GlueData.ι_eq_iff_rel.
- Defined in
- Mathlib.Topology.Gluing
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.GlueData.Jstatement and proof · cited by 141
- CategoryTheory.GlueData.Ustatement and proof · cited by 121
- CategoryTheory.GlueData.Vproof · cited by 88
- CategoryTheory.GlueData.fproof · cited by 83
- CategoryTheory.GlueData.tproof · cited by 44
- TopCat.GlueData.toGlueDatastatement and proof · cited by 28
- TopCat.GlueDatastatement and proof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- TopCat.GlueData.ι_eq_iff_relstatement and proof · cited by 4
- TopCat.GlueData.rel_equivstatement and proof · cited by 1