Theorems · Theorem · global analysis
ContDiffBump.integrable
∀ {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} [BorelSpace E]
[FiniteDimensional ℝ E] [MeasureTheory.IsLocallyFiniteMeasure μ], MeasureTheory.Integrable (↑f) μ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.Integrablestatement · cited by 1,367
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
Cited by4
Results whose statement or proof uses this declaration.
- ContDiffBump.integral_posproof · cited by 3
- ContDiffBump.measure_closedBall_le_integralproof · cited by 2
- ContDiffBump.integrable_normedproof · cited by 0
- ContDiffBump.integral_le_measure_closedBallproof · cited by 0