Theorems · Theorem · combinatorics
Finset.offDiag_filter_lt_eq_filter_le
∀ {ι : Type u_4} [inst : PartialOrder ι] [inst_1 : DecidableLE ι] [inst_2 : DecidableLT ι] (s : Finset ι),
{i ∈ s.offDiag | i.1 < i.2} = {i ∈ s.offDiag | i.1 ≤ i.2}- Defined in
- Mathlib.Data.Finset.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- PartialOrderstatement and proof · cited by 6,410
- Finset.filterstatement · cited by 949
- Finset.extproof · cited by 565
- Finset.offDiagstatement · cited by 44
- Ne.le_iff_ltproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sum_sym2_filter_not_isDiagproof · cited by 1