AffineSubspace.comap_span
∀ {k : Type u_1} {V₁ : Type u_2} {P₁ : Type u_3} {V₂ : Type u_4} {P₂ : Type u_5} [inst : Ring k]
[inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁] [inst_3 : AddTorsor V₁ P₁] [inst_4 : AddCommGroup V₂]
[inst_5 : Module k V₂] [inst_6 : AddTorsor V₂ P₂] (f : P₁ ≃ᵃ[k] P₂) (s : Set P₂),
AffineSubspace.comap (↑f) (affineSpan k s) = affineSpan k (⇑f ⁻¹' s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Set.imageproof · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- affineSpanstatement and proof · cited by 417
- AffineEquivstatement and proof · cited by 191
- AffineEquiv.toAffineMapstatement and proof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Set.Nonempty.intrinsicInteriorproof · cited by 1