Theorems · Theorem · global analysis
Diffeology.DSmooth.contDiff
∀ {X : Type u_1} [inst : DiffeologicalSpace X] {Y : Type u_2} [inst_1 : NormedAddCommGroup X] [inst_2 : NormedSpace ℝ X]
[Diffeology.IsContDiffCompatible X] [inst_4 : NormedAddCommGroup Y] [inst_5 : NormedSpace ℝ Y]
[inst_6 : DiffeologicalSpace Y] [Diffeology.IsContDiffCompatible Y] [FiniteDimensional ℝ X] {f : X → Y},
Diffeology.DSmooth f → ContDiff ℝ (↑⊤) f- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 1 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idproof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Top.topstatement and proof · cited by 9,680
- ENatstatement · cited by 4,985
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankproof · cited by 1,770
- WithTop.somestatement and proof · cited by 1,128
- ContinuousLinearEquivproof · cited by 743
- ContinuousLinearEquiv.symmproof · cited by 368
Cited by1
Results whose statement or proof uses this declaration.
- Diffeology.dSmooth_iff_contDiffproof · cited by 0