AffineSubspace.gc_map_comap
∀ {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),
GaloisConnection (AffineSubspace.map f) (AffineSubspace.comap f)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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.
- 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
- AffineSubspacestatement and proof · cited by 871
- AffineMapstatement and proof · cited by 674
- GaloisConnectionstatement · cited by 253
- AffineSubspace.mapstatement · cited by 78
- AffineSubspace.comapstatement · cited by 19
- AffineSubspace.map_le_iff_le_comapproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- AffineSubspace.gciMapComapproof · cited by 1
- AffineSubspace.map_supproof · cited by 0
- AffineSubspace.comap_suprproof · cited by 0
- AffineSubspace.map_comap_leproof · cited by 0
- AffineSubspace.map_iSupproof · cited by 0
- AffineSubspace.le_comap_mapproof · cited by 0
- AffineSubspace.comap_infproof · cited by 0