no goals
R : Type u
A : Type v
B : Type w
inst✝⁴ : CommSemiring R
inst✝³ : Semiring A
inst✝² : Algebra R A
inst✝¹ : Semiring B
inst✝ : Algebra R B
⊢ ↑⊥ = Set.range ↑(algebraMap R A)
simp [Set.ext_iff, Algebra.mem_bot]