Theorems · Theorem · general topology

ContinuousMap.continuous_toFun

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (self : C(X, Y)),
  Continuous self.toFun

Proposition that toFun is continuous

Defined in

Mathlib.Topology.ContinuousMap.Defs

Cited by

47 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpace