Mathlib Map

Theorems · Theorem · ring theory

QuaternionAlgebra.im_ofNat

∀ {R : Type u_3} {c₁ c₂ c₃ : R} [inst : AddCommGroupWithOne R] (n : ℕ) [inst_1 : n.AtLeastTwo], (OfNat.ofNat n).im = 0
Defined in
Mathlib.Algebra.Quaternion
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
AddCommGroupWithOneNat.AtLeastTwo
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.AtLeastTwo · cited by 405Nat.AtLeastTwoQuaternionAlgebra · cited by 174QuaternionAlgebraAddCommGroupWithOne · cited by 61AddCommGroupWithOneQuaternionAlgebra.im · cited by 20QuaternionAlgebra.imQuaternionAlgebra.im_ofNatCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.