Theorems · Theorem · global analysis
Diffeology.isPlot_iff_dSmooth
∀ {X : Type u_1} [inst : DiffeologicalSpace X] {n : ℕ} {p : EuclideanSpace ℝ (Fin n) → X},
Diffeology.IsPlot p ↔ Diffeology.DSmooth p- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DiffeologicalSpace
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.
- Realstatement and proof · cited by 25,697
- EuclideanSpacestatement and proof · cited by 307
- DiffeologicalSpacestatement and proof · cited by 60
- Diffeology.IsPlotstatement · cited by 29
- Diffeology.DSmoothstatement · cited by 16
- Diffeology.IsPlot.dSmoothproof · cited by 1
- Diffeology.DSmooth.isPlotproof · cited by 1
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