Documentation

Mathlib.Data.Int.CharZero

Injectivity of Int.Cast into characteristic zero rings and fields. #

@[simp]
theorem Int.cast_div_charZero {k : Type u_3} [DivisionRing k] [CharZero k] {m : ℤ} {n : ℤ} (n_dvd : n ∣ m) :
↑(m / n) = ↑m / ↑n
@[simp]
theorem Int.cast_div_ofNat_charZero {k : Type u_3} [DivisionRing k] [CharZero k] {m : ℕ} {n : ℕ} (n_dvd : n ∣ m) :
↑(↑m / ↑n) = ↑m / ↑n
theorem Function.support_intCast {α : Type u_1} {β : Type u_2} [AddGroupWithOne β] [CharZero β] {n : ℤ} (hn : n ≠ 0) :
Function.support ↑n = Set.univ
@[deprecated Function.support_intCast]
theorem Function.support_int_cast {α : Type u_1} {β : Type u_2} [AddGroupWithOne β] [CharZero β] {n : ℤ} (hn : n ≠ 0) :
Function.support ↑n = Set.univ

Alias of Function.support_intCast.

theorem Function.mulSupport_intCast {α : Type u_1} {β : Type u_2} [AddGroupWithOne β] [CharZero β] {n : ℤ} (hn : n ≠ 1) :
Function.mulSupport ↑n = Set.univ
@[deprecated Function.mulSupport_intCast]
theorem Function.mulSupport_int_cast {α : Type u_1} {β : Type u_2} [AddGroupWithOne β] [CharZero β] {n : ℤ} (hn : n ≠ 1) :
Function.mulSupport ↑n = Set.univ

Alias of Function.mulSupport_intCast.