Theorems · Theorem · global analysis
UniqueDiffOn.inter
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : AddCommGroup E] [inst_1 : Semiring 𝕜] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] [ContinuousAdd E] {s t : Set E}, UniqueDiffOn 𝕜 s → IsOpen t → UniqueDiffOn 𝕜 (s ∩ t)- Cited by
- 13 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- IsOpenstatement and proof · cited by 2,400
- ContinuousAddstatement and proof · cited by 777
- IsOpen.mem_nhdsproof · cited by 470
- UniqueDiffOnstatement and proof · cited by 215
- UniqueDiffWithinAt.interproof · cited by 2
Cited by13
Results whose statement or proof uses this declaration.
- ContDiffOn.ftaylorSeriesWithinproof · cited by 11
- contDiffOn_succ_iff_fderivWithinproof · cited by 8
- ContinuousLinearMap.iteratedFDerivWithin_comp_leftproof · cited by 7
- ContDiffWithinAt.isSymmSndFDerivWithinAtproof · cited by 6
- iteratedFDerivWithin_add_applyproof · cited by 5
- ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithinproof · cited by 3
- ModelWithCorners.uniqueDiffOn_preimageproof · cited by 3
- HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sumproof · cited by 2
- iteratedFDerivWithin_eq_iteratedFDerivproof · cited by 2
- ContDiffWithinAt.iteratedFDerivWithin_comp_permproof · cited by 2
- HasFPowerSeriesWithinOnBall.iteratedFDerivWithin_eq_sum_of_completeSpaceproof · cited by 1
- ContDiffWithinAt.eventually_hasFTaylorSeriesUpToOnproof · cited by 1