Theorems · Theorem · order theory
Function.Semiconj.injOn_preimage
∀ {α : Type u_1} {β : Type u_2} {fa : α → α} {fb : β → β} {f : α → β},
Function.Semiconj f fa fb → ∀ {s : Set β}, Set.InjOn fb s → Set.InjOn f (f ⁻¹' s) → Set.InjOn fa (f ⁻¹' s)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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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.preimagestatement and proof · cited by 4,946
- Set.InjOnstatement and proof · cited by 543
- Function.Semiconjstatement and proof · cited by 82
- Function.Semiconj.eqproof · cited by 12
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