Theorems · Theorem · order theory
Finset.box_zero
∀ {α : Type u_1} [inst : Ring α] [inst_1 : PartialOrder α] [inst_2 : LocallyFiniteOrder α] [inst_3 : DecidableEq α],
Finset.box 0 = {0}- Defined in
- Mathlib.Order.Interval.Finset.Box
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Nat.cast_zeroproof · cited by 1,870
- LocallyFiniteOrderstatement and proof · cited by 658
- neg_zeroproof · cited by 542
- Finset.Iccproof · cited by 348
- Finset.boxstatement · cited by 12
- Finset.Icc_selfproof · cited by 12
- disjointed_zeroproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Int.mem_boxproof · cited by 1
- Finset.zero_mem_boxproof · cited by 1
- Finset.eq_zero_iff_eq_zero_of_mem_boxproof · cited by 0