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Theorems · Theorem · ring theory

Quaternion.coe_neg

∀ {R : Type u_3} [inst : CommRing R] (x : R), ↑(-x) = -↑x
Defined in
Mathlib.Algebra.Quaternion
Cited by
2 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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

Quaternion.expSeries_even_of_imaginary · cited by 1Quaternion.expSeries_even…Quaternion.expSeries_odd_of_imaginary · cited by 1Quaternion.expSeries_odd_…CommRing · cited by 17173CommRingQuaternion · cited by 206QuaternionQuaternion.coe · cited by 68Quaternion.coeQuaternionAlgebra.coe_neg · cited by 2QuaternionAlgebra.coe_negQuaternion.coe_negCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.