Theorems · Definition · geometry
ContinuousAffineEquiv.refl
(k : Type u_1) →
(P₁ : Type u_2) →
{V₁ : Type u_6} →
[inst : Ring k] →
[inst_1 : AddCommGroup V₁] →
[inst_2 : Module k V₁] → [inst_3 : AddTorsor V₁ P₁] → [inst_4 : TopologicalSpace P₁] → P₁ ≃ᴬ[k] P₁Identity map as a ContinuousAffineEquiv.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Equivproof · cited by 8,337
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- Equiv.reflproof · cited by 274
- LinearEquiv.reflproof · cited by 143
- ContinuousAffineEquivstatement · cited by 90
Cited by11
Results whose statement or proof uses this declaration.
- ContinuousAffineEquiv.symm_reflstatement · cited by 0
- ContinuousAffineEquiv.symm_trans_selfstatement · cited by 0
- ContinuousAffineEquiv.toAffineEquiv_reflstatement · cited by 0
- ContinuousAffineEquiv.toEquiv_reflstatement · cited by 0
- AffineIsometryEquiv.toContinuousAffineEquiv_reflstatement · cited by 0
- ContinuousAffineEquiv.trans_reflstatement · cited by 0
- ContinuousAffineEquiv.refl_applystatement · cited by 0
- ContinuousAffineEquiv.refl_symmstatement · cited by 0
- ContinuousAffineEquiv.refl_transstatement · cited by 0
- ContinuousAffineEquiv.self_trans_symmstatement · cited by 0
- ContinuousAffineEquiv.coe_reflstatement · cited by 0