Mathlib Map

Theorems · Definition · functional analysis

ContinuousMapZero.toContinuousMap

{X : Type u_1} →
  {R : Type u_2} →
    [inst : Zero X] →
      [inst_1 : Zero R] →
        [inst_2 : TopologicalSpace X] → [inst_3 : TopologicalSpace R] → ContinuousMapZero X R → C(X, R)
Defined in
Mathlib.Topology.ContinuousMap.ContinuousMapZero
Cited by
7 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
ZeroZeroTopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

cfcₙHom_eq_cfcₙ_extend · cited by 3cfcₙHom_eq_cfcₙ_extendContinuousMapZero.map_zero' · cited by 2ContinuousMapZero.map_zer…ContinuousMapZero.isUniformEmbedding_comp · cited by 1ContinuousMapZero.isUnifo…ContinuousMapZero.isometry_toContinuousMap · cited by 1ContinuousMapZero.isometr…ContinuousMapZero.continuous_postcomp · cited by 1ContinuousMapZero.continu…cfcₙHom_comp · cited by 1cfcₙHom_compContinuousMapZero.mkD_eq_self · cited by 0ContinuousMapZero.mkD_eq_…TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapContinuousMapZero · cited by 167ContinuousMapZeroContinuousMapZero.toContinuou…CITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.