Theorems · Theorem · general topology
Circle.exp_injOn_of_forall_sub_mem_Ioo
∀ {s : Set ℝ}, (∀ x ∈ s, ∀ y ∈ s, x - y ∈ Set.Ioo (-2 * Real.pi) (2 * Real.pi)) → Set.InjOn (⇑Circle.exp) s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Set.Ioostatement and proof · cited by 1,214
- Complex.Iproof · cited by 866
- neg_mulproof · cited by 654
- Complex.expproof · cited by 612
- Set.InjOnstatement · cited by 543
Cited by3
Results whose statement or proof uses this declaration.
- Circle.exp_injOn_Iccproof · cited by 1
- Circle.exp_injOn_Icoproof · cited by 1
- Circle.exp_injOn_Iocproof · cited by 1