Theorems · Theorem · order theory
Function.Bijective.restrictPreimage
∀ {α : Type u_1} {β : Type u_2} (t : Set β) {f : α → β},
Function.Bijective f → Function.Bijective (t.restrictPreimage f)Alias of Set.restrictPreimage_bijective.
- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Classical.choice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Set.preimagestatement · cited by 4,946
- Function.Bijectivestatement · cited by 863
- Set.restrictPreimagestatement · cited by 84
- Set.restrictPreimage_bijectiveproof · cited by 2
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