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Theorems · Theorem · order theory

IncidenceAlgebra.apply_eq_zero_of_not_le

∀ {𝕜 : Type u_2} {α : Type u_5} [inst : Zero 𝕜] [inst_1 : LE α] {a b : α},
  ¬a ≤ b → ∀ (f : IncidenceAlgebra 𝕜 α), f a b = 0
Defined in
Mathlib.Combinatorics.Enumerative.IncidenceAlgebra
Cited by
4 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
ZeroLE
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IncidenceAlgebra.ext · cited by 6IncidenceAlgebra.extIncidenceAlgebra.mu_toDual · cited by 3IncidenceAlgebra.mu_toDualIncidenceAlgebra.sum_Icc_mu_right · cited by 1IncidenceAlgebra.sum_Icc_…IncidenceAlgebra.le_of_ne_zero · cited by 0IncidenceAlgebra.le_of_ne…DFunLike.coe · cited by 62936DFunLike.coeIncidenceAlgebra · cited by 51IncidenceAlgebraIncidenceAlgebra.eq_zero_of_not_le' · cited by 1IncidenceAlgebra.eq_zero_…IncidenceAlgebra.apply_eq_zer…CITED BYCITES

Cites3

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Cited by4

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