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Theorems · Theorem · ring theory

star_natCast

∀ {R : Type u} [inst : NonAssocSemiring R] [inst_1 : StarRing R] (n : ℕ), star ↑n = ↑n
Defined in
Mathlib.Algebra.Star.Basic
Cited by
4 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
NonAssocSemiringStarRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.conjTranspose_natCast · cited by 3Matrix.conjTranspose_natC…Matrix.map_natCast_star · cited by 2Matrix.map_natCast_starstar_ofNat · cited by 1star_ofNatIsSelfAdjoint.natCast · cited by 1IsSelfAdjoint.natCastStarRing · cited by 1686StarRingStar.star · cited by 1082Star.starNonAssocSemiring · cited by 805NonAssocSemiringMulOpposite.unop · cited by 268MulOpposite.unopmap_natCast · cited by 134map_natCaststarRingEquiv · cited by 5starRingEquivMulOpposite.unop_natCast · cited by 1MulOpposite.unop_natCaststar_natCastCITED BYCITES

Cites7

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

Cited by4

Results whose statement or proof uses this declaration.