AffineSubspace.Parallel.trans
∀ {k : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] {s₁ s₂ s₃ : AffineSubspace k P}, s₁.Parallel s₂ → s₂.Parallel s₃ → s₁.Parallel s₃- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- AffineMapproof · cited by 674
- AffineEquivproof · cited by 191
- AffineSubspace.mapproof · cited by 78
- AffineEquiv.toAffineMapproof · cited by 65
- AffineEquiv.constVAddproof · cited by 30
- AffineSubspace.Parallelstatement and proof · cited by 19
- AffineSubspace.map_mapproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AffineSubspace.Parallel.equivalenceproof · cited by 0