Theorems · Theorem · general topology
UpperHalfPlane.isOpenEmbedding_coe
Topology.IsOpenEmbedding UpperHalfPlane.coe
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- IsOpenproof · cited by 2,400
- UpperHalfPlanestatement · cited by 626
- UpperHalfPlane.coestatement · cited by 288
- Topology.IsOpenEmbeddingstatement · cited by 231
- UpperHalfPlane.isEmbedding_coeproof · cited by 5
- UpperHalfPlane.range_coeproof · cited by 2
Cited by11
Results whose statement or proof uses this declaration.
- UpperHalfPlane.ofComplexproof · cited by 59
- UpperHalfPlane.ofComplex_applyproof · cited by 14
- UpperHalfPlane.hasStrictDerivAt_smulproof · cited by 3
- UpperHalfPlane.measurableEmbedding_coeproof · cited by 2
- UpperHalfPlane.eq_zero_of_frequentlyproof · cited by 2
- UpperHalfPlane.contMDiffAt_ofComplexproof · cited by 2
- UpperHalfPlane.isOpenMap_normproof · cited by 1
- UpperHalfPlane.isOpenMap_reproof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOnproof · cited by 1
- UpperHalfPlane.contMDiff_smulproof · cited by 1
- UpperHalfPlane.isOpenMap_improof · cited by 0