Theorems · Theorem · linear algebra
LinearMap.id_separatingLeft
∀ {K : Type u_1} {V : Type u_2} [inst : CommSemiring K] [inst_1 : AddCommMonoid V] [inst_2 : Module K V],
LinearMap.id.SeparatingLeft- Defined in
- Mathlib.LinearAlgebra.Dual.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- LinearMap.idstatement · cited by 625
- LinearMap.SeparatingLeftstatement · cited by 47
- LinearMap.separatingLeft_iff_ker_eq_botproof · cited by 13
- LinearMap.ker_idproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- LinearMap.id_nondegenerateproof · cited by 1
- LinearMap.eval_separatingRightproof · cited by 1