Theorems · Theorem · order theory
Finpartition.parts_extendOfLE_of_lt
∀ {α : Type u_1} [inst : GeneralizedBooleanAlgebra α] [inst_1 : DecidableEq α] {a b : α} (P : Finpartition a)
(hab : a < b), (P.extendOfLE ⋯).parts = insert (b \ a) P.parts- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- le_of_ltstatement and proof · cited by 1,175
- Iff.notproof · cited by 489
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- not_le_of_gtproof · cited by 97
- disjoint_sdiff_self_rightproof · cited by 22
- sdiff_eq_bot_iffproof · cited by 10
- Finpartition.extendOfLEstatement · cited by 8
- Finpartition.extend_partsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Finpartition.mem_parts_or_eq_sdiff_of_mem_extendOfLEproof · cited by 1