Theorems · Theorem · real analysis
Real.coe_nnabs
∀ (x : ℝ), ↑(Real.nnabs x) = |x|
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 6 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- NNRealstatement · cited by 4,310
- absstatement · cited by 1,814
- NNReal.toRealstatement · cited by 1,260
- MonoidWithZeroHomstatement · cited by 704
- Real.nnabsstatement · cited by 27
Cited by6
Results whose statement or proof uses this declaration.
- Real.nnabs_of_nonnegproof · cited by 6
- hasFDerivAt_integral_of_dominated_of_fderiv_leproof · cited by 5
- hasDerivAt_integral_of_dominated_loc_of_deriv_leproof · cited by 4
- Complex.nndist_conj_selfproof · cited by 1
- EReal.coe_absproof · cited by 1
- Real.cast_natAbs_eq_nnabs_castproof · cited by 0