Theorems · Theorem · order theory
Nat.card_Iio
∀ (b : ℕ), (Finset.Iio b).card = b
- Defined in
- Mathlib.Order.Interval.Finset.Nat
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 61 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.
- Finsetproof · cited by 13,712
- Bot.botproof · cited by 4,720
- Finset.cardstatement and proof · cited by 2,327
- Finset.Iiostatement · cited by 147
- Nat.card_Icoproof · cited by 19
- Nat.bot_eq_zeroproof · cited by 8
- Finset.Iio_eq_Icoproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Set.ncard_Iio_natproof · cited by 2
- Fin.card_filter_val_ltproof · cited by 1
- Fin.card_Iioproof · cited by 1
- Nat.grahamConjecture_of_squarefreeproof · cited by 0