Theorems · Theorem · global analysis
Diffeology.DSmooth.continuous
∀ {X : Type u_1} {Y : Type u_2} [inst : DiffeologicalSpace X] [inst_1 : DiffeologicalSpace Y] {f : X → Y},
Diffeology.DSmooth f → Continuous f- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- Set.preimageproof · cited by 4,946
- Continuousstatement · cited by 2,592
- IsOpenproof · cited by 2,400
- EuclideanSpaceproof · cited by 307
- DiffeologicalSpacestatement and proof · cited by 60
- Diffeology.IsPlotproof · cited by 29
- Diffeology.DSmoothstatement and proof · cited by 16
- Diffeology.dTopologystatement · cited by 5
- Diffeology.isOpen_iff_preimages_plotsproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Diffeology.DSmooth.continuous'proof · cited by 0