Theorems · Theorem · general topology

Function.locallyFinsuppWithin.coe_single

∀ {X : Type u_1} [inst : TopologicalSpace X] {Y : Type u_2} [inst_1 : DecidableEq X] [inst_2 : Zero Y] {x : X} {y : Y},
  ⇑(Function.locallyFinsuppWithin.single x y) = Pi.single x y

Simplifier lemma: coercion of single x y to a function.

Defined in

Mathlib.Topology.LocallyFinsupp

Cited by

2 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceDecidableEqZero