Theorems · Theorem · algebraic geometry

Function.locallyFinsupp.map.congr_simp

∀ {X : Type u_1} {Y : Type u_2} {R : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f f_1 : X → Y)
  (e_f : f = f_1) (w w_1 : X → R),
  w = w_1 →
    ∀ [inst_2 : Semiring R] [inst_3 : PrespectralSpace Y] (hf : IsSpectralMap f) (c c_1 : Function.locallyFinsupp X R),
      c = c_1 → Function.locallyFinsupp.map f w hf c = Function.locallyFinsupp.map f_1 w_1 ⋯ c_1

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