Theorems · Theorem · combinatorics
Finset.sdiff_disjoint
∀ {α : Type u_1} [inst : DecidableEq α] {s t : Finset α}, Disjoint (t \ s) s- Defined in
- Mathlib.Data.Finset.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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 and proof · cited by 13,712
- Disjointstatement · cited by 2,201
- Finset.disjoint_leftproof · cited by 50
- Finset.mem_sdiffproof · cited by 44
Cited by20
Results whose statement or proof uses this declaration.
- Finset.card_sdiff_of_subsetproof · cited by 35
- Finset.sum_le_sum_of_subset_of_nonnegproof · cited by 31
- Finset.sum_sdiffproof · cited by 16
- Finset.prod_le_prod_of_subset_of_one_le'proof · cited by 12
- Finset.prod_sdiffproof · cited by 10
- Finset.disjoint_sdiffproof · cited by 7
- Finset.disjoint_sdiff_interproof · cited by 7
- cauchySeq_finset_iff_sum_vanishingproof · cited by 5
- Finsupp.prod_dvd_prod_of_subset_of_dvdproof · cited by 4
- multipliable_one_add_of_summableproof · cited by 4
- cauchySeq_finset_iff_prod_vanishingproof · cited by 3
- Finpartition.equitabilise_auxproof · cited by 3