Theorems · Theorem · linear algebra
Subspace.dualCopairing_nondegenerate
∀ {K : Type u_1} {V₁ : Type u_2} [inst : Field K] [inst_1 : AddCommGroup V₁] [inst_2 : Module K V₁] (W : Subspace K V₁),
(Submodule.dualCopairing W).Nondegenerate- Defined in
- Mathlib.LinearAlgebra.Dual.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldAddCommGroupModule
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- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- Bot.botproof · cited by 4,720
- HasQuotient.Quotientstatement and proof · cited by 2,301
- LinearEquiv.symmproof · cited by 1,461
- LinearMap.kerproof · cited by 848
- Module.Dualstatement and proof · cited by 583
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