Theorems · Theorem · general topology
Topology.ContinuousMapGeneratedBy.ext
∀ {ι : Type t} {X : ι → Type u} {inst : (i : ι) → TopologicalSpace (X i)} {Y : Type v} {inst_1 : TopologicalSpace Y}
{Z : Type v'} {inst_2 : TopologicalSpace Z} {x y : Topology.ContinuousMapGeneratedBy X Y Z}, x.toFun = y.toFun → x = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Topology.ContinuousMapGeneratedBystatement and proof · cited by 28
- Topology.ContinuousGeneratedByproof · cited by 16
- Topology.ContinuousMapGeneratedBy.toFunstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Topology.ContinuousMapGeneratedBy.ext_iffproof · cited by 0