Theorems · Theorem · order theory
IncidenceAlgebra.lambda_apply
∀ (𝕜 : Type u_2) {α : Type u_5} [inst : Zero 𝕜] [inst_1 : One 𝕜] [inst_2 : Preorder α]
[inst_3 : DecidableRel fun x1 x2 => x1 ⩿ x2] (a b : α), (IncidenceAlgebra.lambda 𝕜) a b = if a ⩿ b then 1 else 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- ZeroOnePreorderDecidableRel
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Cites5
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
- WCovBystatement and proof · cited by 107
- IncidenceAlgebrastatement · cited by 51
- IncidenceAlgebra.lambdastatement and proof · cited by 1
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