Theorems · Theorem · global analysis
uniqueDiffWithinAt_univ
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : DivisionSemiring 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] [inst_4 : TopologicalSpace 𝕜] [(nhdsWithin 0 {0}ᶜ).NeBot] [ContinuousSMul 𝕜 E] {x : E},
UniqueDiffWithinAt 𝕜 Set.univ x- Cited by
- 16 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Set.univstatement and proof · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Submodule.spanproof · cited by 1,504
- closureproof · cited by 1,254
- ContinuousSMulstatement and proof · cited by 1,016
- Filter.NeBotstatement and proof · cited by 853
Cited by16
Results whose statement or proof uses this declaration.
- uniqueDiffOn_univproof · cited by 66
- HasFDerivAt.uniqueproof · cited by 9
- ContinuousLinearEquiv.comp_fderivproof · cited by 3
- fderiv_comp_smulproof · cited by 2
- uniqueDiffWithinAt_of_mem_nhdsproof · cited by 2
- differentiableAt_iff_restrictScalarsproof · cited by 2
- TangentBundle.coordChange_model_spaceproof · cited by 2
- ContinuousLinearEquiv.comp_right_fderivproof · cited by 1
- fderiv_const_smul_fieldproof · cited by 1
- VectorField.lieBracket_smul_rightproof · cited by 1
- fderiv_fun_negproof · cited by 1
- norm_iteratedFDeriv_oneproof · cited by 0