AffineEquiv.affineSubspaceMap_apply
∀ {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 : AddCommGroup V₂] [inst_3 : Module k V₁] [inst_4 : Module k V₂]
[inst_5 : AddTorsor V₁ P₁] [inst_6 : AddTorsor V₂ P₂] (e : P₁ ≃ᵃ[k] P₂) (s : AffineSubspace k P₁)
[inst_7 : Nonempty ↥s] (x : ↥s), ↑((e.affineSubspaceMap s) x) = e ↑x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement · cited by 339
- AffineEquivstatement and proof · cited by 191
- AffineSubspace.mapstatement · cited by 78
- AffineEquiv.toAffineMapstatement · cited by 65
- AffineEquiv.affineSubspaceMapstatement · cited by 2
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