Theorems · Theorem · order theory
disjointed_add_one
∀ {α : Type u_1} {ι : Type u_2} [inst : GeneralizedBooleanAlgebra α] [inst_1 : LinearOrder ι]
[inst_2 : LocallyFiniteOrderBot ι] [inst_3 : Add ι] [inst_4 : One ι] [SuccAddOrder ι] [NoMaxOrder ι] (f : ι → α)
(i : ι), disjointed f (i + 1) = f (i + 1) \ (partialSups f) i- Defined in
- Mathlib.Algebra.Order.Disjointed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- LinearOrderstatement and proof · cited by 8,572
- OrderHomstatement · cited by 934
- NoMaxOrderstatement and proof · cited by 340
- LocallyFiniteOrderBotstatement and proof · cited by 286
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Order.succ_eq_add_oneproof · cited by 115
- SuccAddOrderstatement and proof · cited by 108
- partialSupsstatement and proof · cited by 67
- disjointedstatement and proof · cited by 64
- not_isMaxproof · cited by 46
- disjointed_succproof · cited by 3
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