Theorems · Theorem · global analysis
DiffeologicalSpace.constant_plots
∀ {X : Type u_1} [self : DiffeologicalSpace X] {n : ℕ} (x : X), (fun x_1 => x) ∈ DiffeologicalSpace.plots nEvery constant map needs to be a plot.
- Defined in
- Mathlib.Geometry.Diffeology.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- EuclideanSpacestatement · cited by 307
- DiffeologicalSpacestatement and proof · cited by 60
- DiffeologicalSpace.plotsstatement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Diffeology.isPlot_constproof · cited by 1
- DiffeologicalSpace.replaceDTopologyproof · cited by 1