Theorems · Theorem · functional analysis
UnitAddCircle.norm_eq
∀ {x : ℝ}, ‖↑x‖ = |x - ↑(round x)|- Defined in
- Mathlib.Analysis.Normed.Group.AddCircle
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement · cited by 5,413
- mul_oneproof · cited by 3,885
- AddSubgroupstatement · cited by 3,232
- one_mulproof · cited by 2,841
- HasQuotient.Quotientstatement · cited by 2,301
- absstatement and proof · cited by 1,814
- AddSubgroup.zmultiplesstatement · cited by 493
- QuotientAddGroup.mkstatement · cited by 348
- inv_oneproof · cited by 301
- roundstatement and proof · cited by 49
- AddCircle.norm_eqproof · cited by 6
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