Theorems · Theorem · functional analysis
Submodule.ker_starProjection
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
(U : Submodule 𝕜 E) [inst_3 : U.HasOrthogonalProjection], (↑U.starProjection).ker = Uᗮ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- LinearMapproof · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- ContinuousLinearMapproof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- LinearMap.rangeproof · cited by 893
- LinearMap.kerstatement · cited by 848
- LinearMap.idproof · cited by 625
- ContinuousLinearMap.toLinearMapstatement and proof · cited by 528
- Submodule.orthogonalstatement and proof · cited by 257
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