Theorems · Theorem · general topology

ContinuousMap.curry_sub_apply

∀ {X : Type u_1} [inst : TopologicalSpace X] {Y : Type u_4} {Z : Type u_5} [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] [inst_3 : Sub Z] [inst_4 : ContinuousSub Z] (f g : C(X × Y, Z)) (x : X),
  (f - g).curry x = f.curry x - g.curry x

Defined in

Mathlib.Topology.ContinuousMap.Algebra

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceSubContinuousSub