Theorems · Theorem · general topology
Inseparable.map
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x y : X} {f : X → Y},
Inseparable x y → Continuous f → Inseparable (f x) (f y)- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Continuousstatement and proof · cited by 2,592
- Continuous.continuousAtproof · cited by 297
- Inseparablestatement and proof · cited by 160
- Inseparable.map_of_continuousAtproof · cited by 1
Cited by15
Results whose statement or proof uses this declaration.
- MultilinearMap.norm_map_coord_zeroproof · cited by 2
- Inseparable.vaddproof · cited by 1
- Inseparable.smulproof · cited by 1
- t0Space_of_injective_of_continuousproof · cited by 1
- Inseparable.enorm_eq_enormproof · cited by 0
- LinearMap.mem_span_iff_continuous_of_finiteproof · cited by 0
- Inseparable.inner_eq_innerproof · cited by 0
- Inseparable.invproof · cited by 0
- Inseparable.negproof · cited by 0
- Inseparable.nnnorm_eq_nnnormproof · cited by 0
- Inseparable.nnnorm_eq_nnnorm'proof · cited by 0
- Inseparable.norm_eq_normproof · cited by 0