Theorems · Theorem · real analysis
Real.toNNReal_abs
∀ (x : ℝ), |x|.toNNReal = Real.nnabs x
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Realstatement and proof · cited by 25,697
- NNRealstatement · cited by 4,310
- absstatement and proof · cited by 1,814
- MonoidWithZeroHomstatement · cited by 704
- Real.toNNRealstatement and proof · cited by 267
- sup_of_le_leftproof · cited by 218
- Real.nnabsstatement and proof · cited by 27
- NNReal.coe_injectiveproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- dist_inf_sup_piproof · cited by 0