Theorems · Theorem · order theory
PNat.card_Icc
∀ (a b : ℕ+), (Finset.Icc a b).card = ↑b + 1 - ↑a
- Defined in
- Mathlib.Data.PNat.Interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- PNatstatement and proof · cited by 392
- Finset.Iccstatement and proof · cited by 348
- PNat.valstatement and proof · cited by 226
- Function.Embedding.subtypeproof · cited by 128
- Finset.card_mapproof · cited by 114
- Nat.card_Iccproof · cited by 14
- PNat.map_subtype_embedding_Iccproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PNat.card_fintype_Iccproof · cited by 0