Theorems · Theorem · global analysis
ApproximatesLinearOn.mono_num
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f : E → F}
{f' : E →L[𝕜] F} {s : Set E} {c c' : NNReal}, c ≤ c' → ApproximatesLinearOn f f' s c → ApproximatesLinearOn f f' s c'- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- NNRealstatement and proof · cited by 4,310
- le_transproof · cited by 985
- norm_nonnegproof · cited by 725
- mul_le_mul_of_nonneg_rightproof · cited by 301
- ApproximatesLinearOnstatement and proof · cited by 38
- NNReal.coe_monoproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1proof · cited by 1
- MeasureTheory.mul_le_addHaar_image_of_lt_detproof · cited by 1