Theorems · Theorem · functional analysis
Unitization.dist_inr
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing A]
[inst_2 : NormedSpace 𝕜 A] [inst_3 : IsScalarTower 𝕜 A A] [inst_4 : SMulCommClass 𝕜 A A]
[inst_5 : RegularNormedAlgebra 𝕜 A] (a b : A), dist ↑a ↑b = dist a b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- Dist.diststatement · cited by 1,539
- NonUnitalNormedRingstatement and proof · cited by 231
- Unitizationstatement · cited by 220
- Unitization.inrstatement · cited by 109
- RegularNormedAlgebrastatement and proof · cited by 26
- Isometry.dist_eqproof · cited by 21
- Unitization.isometry_inrproof · cited by 7
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