Theorem: IncidenceAlgebra.zeta_mul_mu (LeanCamCombi/Incidence.lean)

State before:
𝕄 : Type u_1
F : Type u_2
𝕜 : Type u_3
𝕝 : Type u_4
𝕞 : Type u_5
α : Type u_6
β : Type u_7
inst✝⁴ : Ring 𝕜
inst✝³ : PartialOrder α
inst✝² : LocallyFiniteOrder α
inst✝¹ : DecidableEq α
inst✝ : DecidableRel fun x x_1 => x ≤ x_1
⊢ zeta 𝕜 * mu 𝕜 = 1
Tactic:
rw [mu_eq_mu']
State after:
𝕄 : Type u_1
F : Type u_2
𝕜 : Type u_3
𝕝 : Type u_4
𝕞 : Type u_5
α : Type u_6
β : Type u_7
inst✝⁴ : Ring 𝕜
inst✝³ : PartialOrder α
inst✝² : LocallyFiniteOrder α
inst✝¹ : DecidableEq α
inst✝ : DecidableRel fun x x_1 => x ≤ x_1
⊢ zeta 𝕜 * IncidenceAlgebra.mu' 𝕜 = 1

State before:
𝕄 : Type u_1
F : Type u_2
𝕜 : Type u_3
𝕝 : Type u_4
𝕞 : Type u_5
α : Type u_6
β : Type u_7
inst✝⁴ : Ring 𝕜
inst✝³ : PartialOrder α
inst✝² : LocallyFiniteOrder α
inst✝¹ : DecidableEq α
inst✝ : DecidableRel fun x x_1 => x ≤ x_1
⊢ zeta 𝕜 * IncidenceAlgebra.mu' 𝕜 = 1
Tactic:
exact zeta_mul_mu' _ _
State after:
no goals