Theorems · Theorem · measure theory
RightDerivMeasurableAux.norm_sub_le_of_mem_A
∀ {F : Type u_1} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] {f : ℝ → F} {r x : ℝ},
0 < r →
∀ (ε : ℝ) {L₁ L₂ : F},
x ∈ RightDerivMeasurableAux.A f L₁ r ε → x ∈ RightDerivMeasurableAux.A f L₂ r ε → ‖L₁ - L₂‖ ≤ 4 * ε- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normstatement and proof · cited by 5,413
- LT.lt.leproof · cited by 2,189
- add_le_addproof · cited by 666
- norm_smulproof · cited by 242
- add_sub_cancel_leftproof · cited by 198
- smul_subproof · cited by 142
- Real.norm_of_nonnegproof · cited by 135
- half_posproof · cited by 83
Cited by1
Results whose statement or proof uses this declaration.
- RightDerivMeasurableAux.D_subset_differentiable_setproof · cited by 1