Theorems · Theorem · order theory
Int.card_Ioc
∀ (a b : ℤ), (Finset.Ioc a b).card = (b - a).toNat
- Defined in
- Mathlib.Data.Int.Interval
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.cardstatement · cited by 2,327
- Finset.Iocstatement · cited by 301
- Finset.card_mapproof · cited by 114
- Finset.card_rangeproof · cited by 108
- Function.Embedding.transproof · cited by 83
- addLeftEmbeddingproof · cited by 36
- Nat.castEmbeddingproof · cited by 29
Cited by5
Results whose statement or proof uses this declaration.
- Int.Ioc_filter_modEq_cardproof · cited by 1
- Finset.sum_le_sum_Iocproof · cited by 1
- Int.card_fintype_Ioc_of_leproof · cited by 0
- Int.Ioc_filter_dvd_cardproof · cited by 0
- Int.card_Ioc_of_leproof · cited by 0