ContinuousAffineEquiv.continuous_toFun
∀ {k : Type u_1} {P₁ : Type u_2} {P₂ : Type u_3} {V₁ : Type u_4} {V₂ : Type u_5} [inst : Ring k]
[inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁] [inst_3 : AddTorsor V₁ P₁] [inst_4 : TopologicalSpace P₁]
[inst_5 : AddCommGroup V₂] [inst_6 : Module k V₂] [inst_7 : AddTorsor V₂ P₂] [inst_8 : TopologicalSpace P₂]
(self : P₁ ≃ᴬ[k] P₂), Continuous (↑self).toFun- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Continuousstatement · cited by 2,592
- AddTorsorstatement and proof · cited by 1,657
- Equiv.toFunstatement · cited by 279
- ContinuousAffineEquivstatement and proof · cited by 90
- AffineEquiv.toEquivstatement · cited by 38
- ContinuousAffineEquiv.toAffineEquivstatement · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- ContinuousAffineEquiv.symmproof · cited by 32
- ContinuousAffineEquiv.toHomeomorphproof · cited by 8
- ContinuousAffineEquiv.toContinuousAffineMapproof · cited by 7
- ContinuousAffineEquiv.continuousproof · cited by 0