Theorems · Theorem · order theory
Finset.disjiUnion_Iic_disjointed
∀ {α : Type u_1} {ι : Type u_2} [inst : LinearOrder ι] [inst_1 : LocallyFiniteOrderBot ι] [inst_2 : DecidableEq α]
(n : ι) (t : ι → Finset α), (Finset.Iic n).disjiUnion (disjointed t) ⋯ = (partialSups t) n- Defined in
- Mathlib.Order.Disjointed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coestatement and proof · cited by 8,199
- Disjointstatement · cited by 2,201
- OrderHomstatement and proof · cited by 934
- Function.onFunstatement · cited by 570
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- Finset.biUnionproof · cited by 217
- partialSupsstatement · cited by 67
- disjointedstatement and proof · cited by 64
Cited by2
Results whose statement or proof uses this declaration.
- Finset.sum_eq_sum_range_sdiffproof · cited by 1
- Finset.prod_eq_prod_range_sdiffproof · cited by 0