Theorems · Theorem · operator theory
LinearPMap.adjointDomainMkCLM_apply
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : InnerProductSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : InnerProductSpace 𝕜 F] (T : E →ₗ.[𝕜] F)
(y : ↥T.adjointDomain) (x : ↥T.domain), (T.adjointDomainMkCLM y) x = inner 𝕜 (↑y) (↑T x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- Submodulestatement · cited by 7,192
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Inner.innerstatement · cited by 1,089
- StrongDualstatement · cited by 459
- LinearPMapstatement and proof · cited by 179
- LinearPMap.domainstatement and proof · cited by 167
- LinearPMap.toFun'statement · cited by 124
- LinearPMap.adjointDomainstatement and proof · cited by 6
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