Theorems · Theorem · general topology
Inseparable.prod
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x₁ x₂ : X} {y₁ y₂ : Y},
Inseparable x₁ x₂ → Inseparable y₁ y₂ → Inseparable (x₁, y₁) (x₂, y₂)- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Inseparablestatement and proof · cited by 160
- inseparable_prodproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- TendstoLocallyUniformlyOn.congr_inseparable_rightproof · cited by 4
- TendstoUniformlyOn.congr_inseparable_rightproof · cited by 3
- TendstoUniformlyOnFilter.congr_inseparableproof · cited by 2
- Inseparable.nhds_le_uniformityproof · cited by 2
- TendstoLocallyUniformlyOn.congr_inseparableproof · cited by 2
- Inseparable.vaddproof · cited by 1
- SeparationQuotient.comap_map_mk_uniformityproof · cited by 1
- Inseparable.smulproof · cited by 1
- Inseparable.inner_eq_innerproof · cited by 0