Theorems · Theorem · order theory
IncidenceAlgebra.zeta_mul_zeta
∀ {𝕜 : Type u_2} {α : Type u_5} [inst : NonAssocSemiring 𝕜] [inst_1 : Preorder α] [inst_2 : LocallyFiniteOrder α]
[inst_3 : DecidableLE α] (a b : α), (IncidenceAlgebra.zeta 𝕜 * IncidenceAlgebra.zeta 𝕜) a b = ↑(Finset.Icc a b).card- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- Preorderstatement and proof · cited by 7,952
- Finset.sumproof · cited by 5,195
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Finset.cardstatement and proof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- NonAssocSemiringstatement and proof · cited by 805
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement and proof · cited by 348
- IncidenceAlgebrastatement · cited by 51
- Finset.mem_Iccproof · cited by 39
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