Theorems · Theorem · combinatorics
Finset.card_mono
∀ {α : Type u_1}, Monotone Finset.card- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.cardstatement · cited by 2,327
- Monotonestatement · cited by 1,397
- Finset.card_le_cardproof · cited by 118
Cited by24
Results whose statement or proof uses this declaration.
- Polynomial.eq_zero_of_natDegree_lt_card_of_eval_eq_zeroproof · cited by 4
- Multiset.map_fst_le_of_subset_toEnumFinsetproof · cited by 3
- Finset.dens_le_densproof · cited by 3
- hammingDist_triangleproof · cited by 2
- Finset.mem_upShadow_iff_exists_mem_card_add_oneproof · cited by 2
- cauchy_davenport_minOrder_addproof · cited by 2
- Nat.count_le_cardproof · cited by 2
- Finset.cast_card_sdiffproof · cited by 1
- SimpleGraph.EdgeDisjointTriangles.card_edgeFinset_leproof · cited by 1
- Finset.mem_shadow_iff_exists_mem_card_add_oneproof · cited by 1
- cauchy_davenport_minOrder_mulproof · cited by 1
- SimpleGraph.card_cliqueFinset_leproof · cited by 1