Theorems · Theorem · functional analysis
Real.enorm_eq_ofReal_abs
∀ (r : ℝ), ‖r‖ₑ = ENNReal.ofReal |r|
- Defined in
- Mathlib.Analysis.Normed.Group.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ENNRealstatement and proof · cited by 9,879
- absstatement · cited by 1,814
- ENNReal.ofRealstatement · cited by 863
- ENorm.enormstatement and proof · cited by 715
- abs_nonnegproof · cited by 168
- Real.enorm_eq_ofRealproof · cited by 16
- Real.enorm_absproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Real.ofReal_le_enormproof · cited by 1