Theorems · Theorem · functional analysis
CStarModule.continuous_inner
∀ {A : Type u_1} {E : Type u_2} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A]
[inst_3 : SMul A E] [inst_4 : NormedAddCommGroup E] [inst_5 : NormedSpace ℂ E] [inst_6 : CStarModule A E],
Continuous fun x => inner A x.1 x.2- Cited by
- 0 results in Mathlib
- Foundations
- Depth 324 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement and proof · cited by 5,565
- Continuousstatement · cited by 2,592
- Inner.innerstatement · cited by 1,089
- StarOrderedRingstatement and proof · cited by 587
- continuous_id'proof · cited by 295
- Continuous.comp'proof · cited by 184
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- ContinuousLinearMap.continuousproof · cited by 124
- Continuous.sndproof · cited by 77
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