Theorems · Theorem · order theory
Function.Semiconj.set_image
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {ga : α → α} {gb : β → β},
Function.Semiconj f ga gb → Function.Semiconj (Set.image f) (Set.image ga) (Set.image gb)- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 5,609
- Function.Semiconjstatement and proof · cited by 82
- Set.image_commproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- image_vadd_setₛₗproof · cited by 2
- image_smul_setₛₗproof · cited by 2
- Set.image_op_invproof · cited by 0
- Set.image_op_negproof · cited by 0
- Function.Commute.set_imageproof · cited by 0