Theorems · Theorem · combinatorics
Fin.card_filter_val_lt
∀ {n m : ℕ}, {i | ↑i < m}.card = min n m- Defined in
- Mathlib.Data.Fintype.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Finset.univstatement and proof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- Finset.filterstatement and proof · cited by 949
- Finset.mapproof · cited by 747
- inf_of_le_leftproof · cited by 186
- Finset.filter_congrproof · cited by 167
- Finset.Iioproof · cited by 147
- Finset.card_mapproof · cited by 114
- Finset.filter.congr_simpproof · cited by 47
- Fin.valEmbeddingproof · cited by 30
- Fin.valEmbedding_applyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Fin.lt_card_filter_univ_iff_apply_of_impproof · cited by 4