Theorems · Theorem · global analysis
DiffeologicalSpace.ext
∀ {X : Type u_4} {d₁ d₂ : DiffeologicalSpace X}, @Diffeology.IsPlot X d₁ = @Diffeology.IsPlot X d₂ → d₁ = d₂- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Top.topproof · cited by 9,680
- Set.preimageproof · cited by 4,946
- IsOpenproof · cited by 2,400
- WithTop.someproof · cited by 1,128
- ContDiffproof · cited by 352
- EuclideanSpacestatement and proof · cited by 307
- DiffeologicalSpacestatement and proof · cited by 60
- Diffeology.IsPlotstatement and proof · cited by 29
- TopologicalSpace.IsOpenproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- DiffeologicalSpace.injective_toPlotsproof · cited by 1
- DiffeologicalSpace.replaceDTopology_eqproof · cited by 0
- DiffeologicalSpace.ext_iffproof · cited by 0
- NormedSpace.isContDiffCompatible_iff_eq_toDiffeologyproof · cited by 0