AffineSubspace.span_univ
∀ (k : Type u_1) (V : Type u_2) (P : Type u_3) [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V] [S : AddTorsor V P], affineSpan k Set.univ = ⊤
The span of univ is ⊤.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Set.univstatement · cited by 3,945
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement · cited by 871
- affineSpanstatement · cited by 417
- eq_top_iffproof · cited by 236
- subset_affineSpanproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- AffineBasis.exists_affineBasisproof · cited by 1