vectorSpan_of_subsingleton
∀ (k : Type u_1) {V : Type u_2} {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] {s : Set P}, s.Subsingleton → vectorSpan k s = ⊥- Cited by
- 2 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- Submodulestatement · cited by 7,192
- Bot.botstatement and proof · cited by 4,720
- AddTorsorstatement and proof · cited by 1,657
- Set.Subsingletonstatement and proof · cited by 276
- vectorSpanstatement · cited by 123
- Set.Subsingleton.eq_empty_or_singletonproof · cited by 16
- vectorSpan_singletonproof · cited by 6
- vectorSpan_emptyproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- vectorSpan_eq_bot_iff_subsingletonproof · cited by 1
- AffineIndependent.vectorSpan_image_eq_iffproof · cited by 0