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Theorems · Theorem · order theory

Set.LeftInvOn.comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {s : Set α} {t : Set β} {f : α → β} {g : β → γ} {f' : β → α}
  {g' : γ → β}, Set.LeftInvOn f' f s → Set.LeftInvOn g' g t → Set.MapsTo f s t → Set.LeftInvOn (f' ∘ g') (g ∘ f) s
Defined in
Mathlib.Data.Set.Function
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • Set.MapsTostatement and proof · cited by 732
  • Set.LeftInvOnstatement and proof · cited by 42

Cited by2

Results whose statement or proof uses this declaration.