Theorems · Theorem · order theory
IncidenceAlgebra.mu_ofDual
∀ (𝕜 : Type u_2) {α : Type u_5} [inst : Ring 𝕜] [inst_1 : PartialOrder α] [inst_2 : LocallyFiniteOrder α]
[inst_3 : DecidableEq α] (a b : αᵒᵈ),
(IncidenceAlgebra.mu 𝕜) (OrderDual.ofDual a) (OrderDual.ofDual b) = (IncidenceAlgebra.mu 𝕜) b a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Equivstatement · cited by 8,337
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- OrderDualstatement and proof · cited by 927
- LocallyFiniteOrderstatement and proof · cited by 658
- OrderDual.ofDualstatement and proof · cited by 400
- IncidenceAlgebrastatement · cited by 51
- IncidenceAlgebra.mustatement · cited by 15
- IncidenceAlgebra.mu_toDualproof · cited by 3
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