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Theorems · Inductive type · category theory

ContinuousGeneratedByCat.Hom

{ι : Type t} →
  {X : ι → Type u} →
    [inst : (i : ι) → TopologicalSpace (X i)] → ContinuousGeneratedByCat X → ContinuousGeneratedByCat X → Type v

The type of morphisms in the category ContinuousGeneratedByCat X is a one-field structure containing a field of type ContinuousMapGeneratedBy, i.e. X-continuous maps.

Defined in
Mathlib.Topology.Convenient.Category
Cited by
3 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousGeneratedByCat.Hom.hom · cited by 3Hom.homContinuousGeneratedByCat.Hom.mk.inj · cited by 1mk.injContinuousGeneratedByCat.Hom.mk.noConfusion · cited by 1mk.noConfusionContinuousGeneratedByCat.Hom.casesOn · cited by 0Hom.casesOnContinuousGeneratedByCat.Hom.ctorIdx · cited by 0Hom.ctorIdxContinuousGeneratedByCat.Hom.noConfusion · cited by 0Hom.noConfusionContinuousGeneratedByCat.Hom.noConfusionType · cited by 0Hom.noConfusionTypeContinuousGeneratedByCat.Hom.recOn · cited by 0Hom.recOnContinuousGeneratedByCat.Hom.mk.injEq · cited by 0mk.injEqContinuousGeneratedByCat.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specTopologicalSpace · cited by 24529TopologicalSpaceContinuousGeneratedByCat · cited by 23ContinuousGeneratedByCatContinuousGeneratedByCat.HomCITED BYCITES

Cites2

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Cited by10

Results whose statement or proof uses this declaration.