Theorems · Theorem · logic and foundations
Set.ncard_range_of_injective
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → (Set.range f).ncard = Nat.card α- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.univproof · cited by 3,945
- Nat.cardstatement and proof · cited by 844
- Set.ncardstatement and proof · cited by 344
- Set.image_univproof · cited by 322
- Set.ncard_univproof · cited by 21
- Set.ncard_image_of_injectiveproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.IsStandardSmoothOfRelativeDimension.exists_etale_mvPolynomialproof · cited by 1
- Function.Surjective.card_le_card_add_one_iffproof · cited by 1
- SubMulAction.IsPreprimitive.isPreprimitive_ofFixingSubgroup_interproof · cited by 1