Theorems · Theorem · order theory
Set.IsWF.min_add
∀ {α : Type u_1} {s t : Set α} [inst : AddCommMonoid α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedCancelAddMonoid α]
(hs : s.IsWF) (ht : t.IsWF) (hsn : s.Nonempty) (htn : t.Nonempty), ⋯.min ⋯ = hs.min hsn + ht.min htn- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Set.Nonemptystatement and proof · cited by 2,627
- le_antisymmproof · cited by 2,068
- add_le_addproof · cited by 666
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- Set.addstatement · cited by 338
- Set.IsWFstatement and proof · cited by 47
- Set.IsWF.minstatement and proof · cited by 47
- Set.mem_addproof · cited by 25
- Set.IsWF.min_memproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.order_mul_of_ne_zeroproof · cited by 3
- HahnSeries.orderTop_mul_of_ne_zeroproof · cited by 2
- HahnSeries.order_mulproof · cited by 1