Theorems · Definition · global analysis
DiffeologicalSpace.replaceDTopology
{X : Type u_1} →
(d : DiffeologicalSpace X) → (t : TopologicalSpace X) → DiffeologicalSpace.dTopology = t → DiffeologicalSpace XReplaces the D-topology of a diffeology with another topology equal to it. Useful to construct diffeologies with better definitional equalities.
- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- DiffeologicalSpacestatement and proof · cited by 60
- DiffeologicalSpace.plotsproof · cited by 5
- DiffeologicalSpace.dTopologystatement and proof · cited by 2
- DiffeologicalSpace.constant_plotsproof · cited by 1
- DiffeologicalSpace.plot_reparamproof · cited by 1
- DiffeologicalSpace.localityproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- DiffeologicalSpace.replaceDTopology_eqstatement · cited by 0