Theorems · Theorem · order theory
IncidenceAlgebra.mu_self
∀ {𝕜 : Type u_2} {α : Type u_5} [inst : AddCommGroup 𝕜] [inst_1 : One 𝕜] [inst_2 : Preorder α]
[inst_3 : LocallyFiniteOrder α] [inst_4 : DecidableEq α] (a : α), (IncidenceAlgebra.mu 𝕜) a a = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddCommGroupstatement and proof · cited by 12,871
- Preorderstatement and proof · cited by 7,952
- Finset.sumproof · cited by 5,195
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icoproof · cited by 450
- IncidenceAlgebrastatement · cited by 51
- IncidenceAlgebra.mustatement and proof · cited by 15
- IncidenceAlgebra.mu_applyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IncidenceAlgebra.sum_Icc_mu_rightproof · cited by 1