Theorems · Theorem · global analysis
ContDiffBump.normed_def
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E]
[inst_3 : MeasurableSpace E] {c : E} (f : ContDiffBump c) {μ : MeasureTheory.Measure E} (x : E),
f.normed μ x = ↑f x / ∫ (x : E), ↑f x ∂μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 251 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.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.integralstatement · cited by 1,779
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
- ContDiffBump.normedstatement · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- ContDiffBump.normed_negproof · cited by 0
- ContDiffBump.normed_subproof · cited by 0
- ContDiffBump.normed_le_div_measure_closedBall_rInproof · cited by 0