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Theorems · Theorem · linear algebra

LinearMap.dualPairing_nondegenerate

Deprecated since 2026-04-02Use LinearMap.id_nondegenerate instead.

∀ {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

Alias of LinearMap.id_nondegenerate.

Defined in
Mathlib.LinearAlgebra.Dual.Lemmas
Cited by
0 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringAddCommMonoidModuleModule.Projective
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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_nondegenerate · cited by 1LinearMap.id_nondegenerateLinearMap.dualPairing_nondege…CITED BYCITES

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