Theorems · Theorem · linear algebra
Subspace.dualAnnihilator_dualAnnihilator_eq
∀ {K : Type u_1} {V : Type u_2} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
[inst_3 : FiniteDimensional K V] (W : Subspace K V),
(Submodule.dualAnnihilator W).dualAnnihilator = (Module.mapEvalEquiv K V) W- Defined in
- Mathlib.LinearAlgebra.Dual.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- Submodulestatement and proof · cited by 7,192
- FiniteDimensionalstatement and proof · cited by 1,854
- OrderIsostatement · cited by 874
- Module.Dualstatement · cited by 583
- Submodule.dualAnnihilatorstatement and proof · cited by 77
- Subspacestatement and proof · cited by 56
- Submodule.dualCoannihilatorproof · cited by 41
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