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fix
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abhimanyupallavisudhir committed Mar 16, 2019
1 parent 0a891fb commit 8abcc95
Showing 1 changed file with 1 addition and 1 deletion.
2 changes: 1 addition & 1 deletion src/data/real/hyperreal.lean
Expand Up @@ -110,7 +110,7 @@ end
/-- A hyperreal number is infinitesimal if its standard part is 0 -/
def infinitesimal (x : ℝ*) := is_st x 0

theorem infinitesimal_of_tendsto_zero (f : ℕ → ℝ) (hf : tendsto f at_top (nhds 0)) :
theorem infinitesimal_of_tendsto_zero {f : ℕ → ℝ} (hf : tendsto f at_top (nhds 0)) :
infinitesimal (of_seq f) :=
λ d hd, by rw [←of_eq_coe, ←of_eq_coe, sub_eq_add_neg, ←of_neg, ←of_add, ←of_add, zero_add, zero_add, of_eq_coe, of_eq_coe];
exact ⟨neg_lt_of_tendsto_zero_of_neg hf hd, lt_of_tendsto_zero_of_pos hf hd⟩
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