Theorems · Theorem · functional analysis
CStarMatrix.toCLM_injective
∀ {m : Type u_1} {n : Type u_2} {A : Type u_5} [inst : Fintype m] [inst_1 : NonUnitalCStarAlgebra A],
Function.Injective ⇑CStarMatrix.toCLM- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeNonUnitalCStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
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- Fintypestatement and proof · cited by 7,736
- Complexstatement · cited by 5,565
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- ContinuousLinearMapstatement · cited by 5,352
- Equiv.symmproof · cited by 3,681
- Star.starproof · cited by 1,082
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- norm_zeroproof · cited by 366
Cited by1
Results whose statement or proof uses this declaration.
- CStarMatrix.normedSpaceCoreproof · cited by 0