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Theorems · Theorem · ring theory

QuaternionAlgebra.star_coe

∀ {R : Type u_3} {c₁ c₂ c₃ : R} (x : R) [inst : CommRing R], star ↑x = ↑x
Defined in
Mathlib.Algebra.Quaternion
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
CommRing
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Around this declaration

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

Quaternion.star_coe · cited by 1Quaternion.star_coeCliffordAlgebraQuaternion.toQuaternion_star · cited by 1CliffordAlgebraQuaternion…CommRing · cited by 17173CommRingadd_zero · cited by 2707add_zeroMulZeroClass.mul_zero · cited by 2091MulZeroClass.mul_zeroStar.star · cited by 1082Star.starneg_zero · cited by 542neg_zeroQuaternionAlgebra · cited by 174QuaternionAlgebraQuaternionAlgebra.coe · cited by 46QuaternionAlgebra.coeQuaternionAlgebra.ext · cited by 21QuaternionAlgebra.extQuaternionAlgebra.star_coeCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.