Theorems · Theorem · general topology
OnePoint.infty_notMem_image_coe
∀ {X : Type u_1} {s : Set X}, OnePoint.infty ∉ OnePoint.some '' s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.imagestatement · cited by 5,609
- OnePointstatement · cited by 126
- OnePoint.inftystatement · cited by 102
- OnePoint.somestatement and proof · cited by 76
- Set.image_subset_rangeproof · cited by 76
- Set.notMem_subsetproof · cited by 18
- OnePoint.infty_notMem_range_coeproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- OnePoint.isOpen_compl_image_coeproof · cited by 2
- OnePoint.nhdsNE_infty_eqproof · cited by 1
- OnePoint.isOpen_image_coeproof · cited by 1
- OnePoint.infty_mem_opensOfComplproof · cited by 0