Theorems · Theorem · several complex variables
UpperHalfPlane.eq_zero_of_frequently
∀ {f : UpperHalfPlane → ℂ},
MDiff f → ∀ {τ : UpperHalfPlane}, (∃ᶠ (z : UpperHalfPlane) in nhdsWithin τ {τ}ᶜ, f z = 0) → f = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 287 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterproof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- Filter.Eventuallyproof · cited by 3,134
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- modelWithCornersSelfstatement and proof · cited by 920
- OpenPartialHomeomorph.toFun'proof · cited by 745
- UpperHalfPlanestatement and proof · cited by 626
Cited by2
Results whose statement or proof uses this declaration.
- UpperHalfPlane.prod_eq_zero_iffproof · cited by 1
- UpperHalfPlane.mul_eq_zero_iffproof · cited by 0