Theorems · Theorem · order theory
Function.Semiconj.surjOn_range
∀ {α : Type u_1} {β : Type u_2} {fa : α → α} {fb : β → β} {f : α → β},
Function.Semiconj f fa fb → Function.Surjective fa → Set.SurjOn fb (Set.range f) (Set.range f)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.rangestatement · cited by 4,705
- Set.image_univproof · cited by 322
- Set.SurjOnstatement and proof · cited by 186
- Function.Semiconjstatement and proof · cited by 82
- Function.Surjective.surjOnproof · cited by 2
- Function.Semiconj.surjOn_imageproof · cited by 2
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