no goals
ι : Sort uι
R : Type u
inst✝² : CommSemiring R
A : Type v
inst✝¹ : Semiring A
inst✝ : Algebra R A
S T : Set A
M N P Q : Submodule R A
m n : A
⊢ 1 ≤ P ↔ 1 ∈ P
simp only [one_eq_span, span_le, Set.singleton_subset_iff, SetLike.mem_coe]