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Theorems · Theorem · ring theory

star_intCast

∀ {R : Type u} [inst : NonAssocRing R] [inst_1 : StarRing R] (z : ℤ), star ↑z = ↑z
Defined in
Mathlib.Algebra.Star.Basic
Cited by
3 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Quot.sound
Assumes
NonAssocRingStarRing
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Around this declaration

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

Matrix.conjTranspose_intCast · cited by 2Matrix.conjTranspose_intC…Matrix.map_intCast_star · cited by 1Matrix.map_intCast_starIsSelfAdjoint.intCast · cited by 0IsSelfAdjoint.intCastStarRing · cited by 1686StarRingStar.star · cited by 1082Star.starNonAssocRing · cited by 483NonAssocRingMulOpposite.unop · cited by 268MulOpposite.unopmap_intCast · cited by 45map_intCaststarRingEquiv · cited by 5starRingEquivMulOpposite.unop_intCast · cited by 1MulOpposite.unop_intCaststar_intCastCITED BYCITES

Cites7

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

Cited by3

Results whose statement or proof uses this declaration.