Theorems · Theorem · commutative algebra
ENNReal.coe_smul
∀ {R : Type u_1} (r : R) (s : NNReal) [inst : SMul R NNReal] [inst_1 : SMul R ENNReal] [IsScalarTower R NNReal NNReal]
[IsScalarTower R NNReal ENNReal], ↑(r • s) = r • ↑s- Defined in
- Mathlib.Data.ENNReal.Action
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NNRealstatement and proof · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- one_mulproof · cited by 2,841
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- smul_eq_mulproof · cited by 357
- smul_mul_assocproof · cited by 77
- smul_one_smulproof · cited by 43
- ENNReal.coe_mulproof · cited by 33
- ENNReal.smul_defproof · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.UniformIntegrable.spec'proof · cited by 1
- MeasureTheory.FiniteMeasure.coeFn_smulproof · cited by 1
- MeasureTheory.FiniteMeasure.testAgainstNN_smulproof · cited by 0