Theorems · Theorem · global analysis
UniqueDiffWithinAt.mono_closure
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Semiring 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {x : E} {s t : Set E} [ContinuousAdd E] [ContinuousConstSMul 𝕜 E],
UniqueDiffWithinAt 𝕜 s x → s ⊆ closure t → UniqueDiffWithinAt 𝕜 t x- Cited by
- 1 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.
Cites11
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
- closurestatement and proof · cited by 1,254
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousAddstatement and proof · cited by 777
- UniqueDiffWithinAtstatement and proof · cited by 252
- UniqueDiffWithinAt.monoproof · cited by 8
- UniqueDiffWithinAt.of_closureproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- range_derivWithin_subset_closure_span_imageproof · cited by 3