Theorems · Inductive type · global analysis
Diffeology.IsDTopologyCompatible
(X : Type u_1) → [t : TopologicalSpace X] → [DiffeologicalSpace X] → Prop
Technical condition saying that the topology on a type agrees with the D-topology. Necessary because the D-topologies on for example products and subspaces don't agree with the product and subspace topologies.
- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 1 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.
- TopologicalSpacestatement · cited by 24,529
- DiffeologicalSpacestatement · cited by 60
Cited by4
Results whose statement or proof uses this declaration.
- Diffeology.IsDTopologyCompatible.dTop_eqstatement and proof · cited by 1
- Diffeology.IsDTopologyCompatible.casesOnstatement and proof · cited by 0
- Diffeology.IsDTopologyCompatible.recOnstatement and proof · cited by 0
- Diffeology.DSmooth.continuous'statement and proof · cited by 0