Theorems · Definition · global analysis
Diffeomorph.refl
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_2} →
[inst_1 : NormedAddCommGroup E] →
[inst_2 : NormedSpace 𝕜 E] →
{H : Type u_5} →
[inst_3 : TopologicalSpace H] →
(I : ModelWithCorners 𝕜 E H) →
(M : Type u_9) →
[inst_4 : TopologicalSpace M] → [inst_5 : ChartedSpace H M] → (n : WithTop ℕ∞) → Diffeomorph I I M M nIdentity map as a diffeomorphism.
- Defined in
- Mathlib.Geometry.Manifold.Diffeomorph
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 206 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.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Equivproof · cited by 8,337
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- Equiv.reflproof · cited by 274
- Diffeomorphstatement · cited by 85
- contMDiff_idproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- Diffeomorph.trans_reflstatement · cited by 0
- Diffeomorph.symm_reflstatement · cited by 0
- Diffeomorph.coe_reflstatement · cited by 0
- Diffeomorph.symm_trans_selfstatement · cited by 0
- Diffeomorph.refl_toEquivstatement · cited by 0
- Diffeomorph.refl_transstatement · cited by 0
- Diffeomorph.self_trans_symmstatement · cited by 0