Mathlib Map

Theorems · Theorem · linear algebra

LinearMap.id_nondegenerate

∀ {K : Type u_1} {V : Type u_2} [inst : CommSemiring K] [inst_1 : AddCommMonoid V] [inst_2 : Module K V]
  [Module.Projective K V], LinearMap.id.Nondegenerate
Defined in
Mathlib.LinearAlgebra.Dual.Lemmas
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleModule.Projective
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearMap.dualPairing_nondegenerate · cited by 0LinearMap.dualPairing_non…Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapLinearMap.id · cited by 625LinearMap.idModule.Projective · cited by 82Module.ProjectiveLinearMap.Nondegenerate · cited by 35LinearMap.NondegenerateLinearMap.id_separatingLeft · cited by 2LinearMap.id_separatingLe…LinearMap.id_separatingRight · cited by 2LinearMap.id_separatingRi…LinearMap.id_nondegenerateCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.