Theorems · Theorem · algebraic geometry

Function.locallyFinsupp.map_apply

∀ {X : Type u_1} {Y : Type u_2} {R : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y}
  (w : X → R) [inst_2 : Semiring R] [inst_3 : PrespectralSpace Y] (hf : IsSpectralMap f)
  (c : Function.locallyFinsupp X R) (y : Y),
  (Function.locallyFinsupp.map f w hf c) y = ∑ᶠ (x : X) (_ : x ∈ f ⁻¹' {y}), c x * w x

Defined in

Mathlib.Topology.LocallyFinsupp.Pushforward

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceSemiringPrespectralSpace