Theorems · Theorem · order theory

Set.preimage_preimage

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {g : β → γ} {f : α → β} {s : Set γ},
  f ⁻¹' g ⁻¹' s = (fun x => g (f x)) ⁻¹' s

Defined in

Mathlib.Data.Set.Image

Cited by

36 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms