Theorems · Theorem · linear algebra
Subspace.quotAnnihilatorEquiv_apply
∀ {K : Type u_1} {V : Type u_2} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] (W : Subspace K V)
(φ : Module.Dual K V), W.quotAnnihilatorEquiv (Submodule.Quotient.mk φ) = (Submodule.dualRestrict W) φ- Defined in
- Mathlib.LinearAlgebra.Dual.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldAddCommGroupModule
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- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- LinearEquivstatement · cited by 3,317
- HasQuotient.Quotientstatement · cited by 2,301
- LinearMap.extproof · cited by 844
- Module.Dualstatement and proof · cited by 583
- Submodule.Quotient.mkstatement and proof · cited by 184
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