Theorems · Theorem · global analysis
Diffeology.IsContDiffCompatible.isPlot_iff
∀ {X : Type u_1} {inst : NormedAddCommGroup X} {inst_1 : NormedSpace ℝ X} {inst_2 : DiffeologicalSpace X}
[self : Diffeology.IsContDiffCompatible X] {n : ℕ} {p : EuclideanSpace ℝ (Fin n) → X},
Diffeology.IsPlot p ↔ ContDiff ℝ (↑⊤) p- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- WithTop.somestatement · cited by 1,128
- ContDiffstatement · cited by 352
- EuclideanSpacestatement · cited by 307
- DiffeologicalSpacestatement and proof · cited by 60
- Diffeology.IsPlotstatement · cited by 29
- Diffeology.IsContDiffCompatiblestatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Diffeology.isPlot_iff_contDiffproof · cited by 2
- NormedSpace.isContDiffCompatible_iff_eq_toDiffeologyproof · cited by 0