mathlib documentation

data.int.char_zero

Injectivity of int.cast into characteristic zero rings. #

source
@[simp]
theorem int.cast_eq_zero {α : Type u_1} [add_group α] [has_one α] [char_zero α] {n : ℤ} :
↑n = 0 ↔ n = 0
source
@[simp, norm_cast]
theorem int.cast_inj {α : Type u_1} [add_group α] [has_one α] [char_zero α] {m n : ℤ} :
↑m = ↑n ↔ m = n
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theorem int.cast_injective {α : Type u_1} [add_group α] [has_one α] [char_zero α] :
function.injective coe
source
theorem int.cast_ne_zero {α : Type u_1} [add_group α] [has_one α] [char_zero α] {n : ℤ} :
↑n ≠ 0 ↔ n ≠ 0