Theorems · Definition · geometry
ContinuousAffineMap.toAffineMap
{R : Type u_1} →
{V : Type u_2} →
{W : Type u_3} →
{P : Type u_4} →
{Q : Type u_5} →
[inst : Ring R] →
[inst_1 : AddCommGroup V] →
[inst_2 : Module R V] →
[inst_3 : TopologicalSpace P] →
[inst_4 : AddTorsor V P] →
[inst_5 : AddCommGroup W] →
[inst_6 : Module R W] →
[inst_7 : TopologicalSpace Q] → [inst_8 : AddTorsor W Q] → (P →ᴬ[R] Q) → P →ᵃ[R] Q- Cited by
- 28 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- AffineMapstatement · cited by 674
- ContinuousAffineMapstatement and proof · cited by 263
Cited by32
Results whose statement or proof uses this declaration.
- ContinuousAffineMap.contLinearproof · cited by 45
- ContinuousAffineMap.compproof · cited by 8
- ContinuousAffineMap.prodMapproof · cited by 5
- ContinuousAffineMap.prodproof · cited by 4
- Affine.Simplex.signedInfDist_affineCombinationproof · cited by 4
- ContinuousAffineMap.apply_lineMapproof · cited by 4
- ContinuousAffineMap.hasFDerivAtFilterproof · cited by 3
- ContinuousAffineMap.coe_toAffineMapstatement · cited by 3
- ContinuousAffineMap.contLinear_map_vsubproof · cited by 2
- ContinuousAffineMap.contstatement · cited by 2
- ContinuousAffineMap.map_vaddproof · cited by 2
- signedDist_apply_linearstatement · cited by 1