Theorems · Theorem · real analysis
NNReal.coe_min
∀ (x y : NNReal), ↑(min x y) = min ↑x ↑y
- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 111 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.
- Realstatement · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Monotone.map_minproof · cited by 43
- NNReal.coe_monoproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.BrownianReal.posSemidef_covMatrixproof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1proof · cited by 1