Theorems · Definition · general topology
Topology.ContinuousMapGeneratedBy.mk.noConfusion
{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} →
{P : Sort u_1} →
{toFun : Y → Z} →
{prop : Topology.ContinuousGeneratedBy X toFun} →
{toFun' : Y → Z} →
{prop' : Topology.ContinuousGeneratedBy X toFun'} →
{ toFun := toFun, prop := prop } = { toFun := toFun', prop := prop' } → (toFun ≍ toFun' → P) → P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 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 · cited by 28
- Topology.ContinuousGeneratedBystatement and proof · cited by 16
- Topology.ContinuousMapGeneratedBy.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- Topology.ContinuousMapGeneratedBy.mk.injproof · cited by 1