R : Type u_1
Γ₀ : Type u_2
inst✝¹ : CommRing R
inst✝ : LinearOrderedCommMonoidWithZero Γ₀
v : Valuation R Γ₀
⊢ Ideal.map (Ideal.Quotient.mk (supp v)) (supp v) = 0
R : Type u_1
Γ₀ : Type u_2
inst✝¹ : CommRing R
inst✝ : LinearOrderedCommMonoidWithZero Γ₀
v : Valuation R Γ₀
⊢ supp (onQuot v (_ : supp v ≤ supp v)) = 0
rw [supp_quot]
no goals
R : Type u_1
Γ₀ : Type u_2
inst✝¹ : CommRing R
inst✝ : LinearOrderedCommMonoidWithZero Γ₀
v : Valuation R Γ₀
⊢ Ideal.map (Ideal.Quotient.mk (supp v)) (supp v) = 0
exact Ideal.map_quotient_self _