Theorems · Definition · order theory
ENNReal.toEReal
ENNReal → EReal
The canonical map from nonnegative extended reals to extended reals.
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 56 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
Cited by57
Results whose statement or proof uses this declaration.
- EReal.coe_ennreal_zerostatement · cited by 5
- EReal.coe_ennreal_nonnegstatement · cited by 4
- EReal.coe_ennreal_strictMonostatement · cited by 4
- EReal.isEmbedding_coe_ennrealstatement · cited by 4
- EReal.coe_ennreal_injectivestatement · cited by 3
- EReal.right_distrib_of_nonnegproof · cited by 3
- EReal.sign_mul_absstatement and proof · cited by 3
- MeasureTheory.exists_lt_lowerSemicontinuous_integral_ltproof · cited by 2
- EReal.coe_ennreal_addstatement and proof · cited by 2
- EReal.coe_ennreal_eq_coe_ennreal_iffstatement · cited by 2
- EReal.coe_ennreal_le_coe_ennreal_iffstatement · cited by 2
- EReal.coe_ennreal_ofRealstatement · cited by 2