Theorems · Theorem · order theory
Function.LeftInverse.image_image
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {g : β → α}, Function.LeftInverse g f → ∀ (s : Set α), g '' f '' s = s- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.imagestatement and proof · cited by 5,609
- Set.image_compproof · cited by 142
- Set.image_idproof · cited by 60
- Function.LeftInverse.comp_eq_idproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.symm_image_imageproof · cited by 12
- Function.Embedding.schroeder_bernstein_of_relproof · cited by 2