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Theorems · Theorem · ring theory

QuaternionAlgebra.im_add

∀ {R : Type u_3} {c₁ c₂ c₃ : R} (a b : QuaternionAlgebra R c₁ c₂ c₃) [inst : AddZeroClass R], (a + b).im = a.im + b.im
Defined in
Mathlib.Algebra.Quaternion
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddZeroClass
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Around this declaration

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

Quaternion.im_add · cited by 1Quaternion.im_addzero_add · cited by 2366zero_addAddZeroClass · cited by 1237AddZeroClassQuaternionAlgebra · cited by 174QuaternionAlgebraQuaternionAlgebra.re · cited by 117QuaternionAlgebra.reQuaternionAlgebra.ext · cited by 21QuaternionAlgebra.extQuaternionAlgebra.im · cited by 20QuaternionAlgebra.imQuaternionAlgebra.im_addCITED BYCITES

Cites6

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Cited by1

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