Theorems · Theorem · global analysis
uniqueDiffOn_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],
UniqueDiffOn 𝕜 Set.univ- Cited by
- 66 results in Mathlib
- Foundations
- Depth 76 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 · 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
- Set.univstatement and proof · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- ContinuousSMulstatement and proof · cited by 1,016
- Filter.NeBotstatement and proof · cited by 853
- DivisionSemiringstatement and proof · cited by 216
- UniqueDiffOnstatement · cited by 215
- uniqueDiffWithinAt_univproof · cited by 16
Cited by66
Results whose statement or proof uses this declaration.
- contDiffOn_univproof · cited by 25
- ContDiffAt.fderivproof · cited by 6
- contDiff_iff_continuous_differentiableproof · cited by 6
- contDiff_succ_iff_fderivproof · cited by 4
- ContDiffAt.iteratedFDeriv_rightproof · cited by 4
- iteratedFDeriv_succ_apply_rightproof · cited by 4
- ContinuousLinearMap.iteratedFDeriv_comp_leftproof · cited by 4
- iteratedDeriv_addproof · cited by 3
- iteratedFDeriv_add_applyproof · cited by 3
- iteratedFDeriv_sub_applyproof · cited by 3
- norm_iteratedFDeriv_comp_le'proof · cited by 2
- iteratedDeriv_mulproof · cited by 2