Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.coe_eq_zero
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : Star A] (S : NonUnitalStarSubalgebra R A) {x : ↥S}, ↑x = 0 ↔ x = 0- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- Foundations
- Depth 18 from the axioms · uses no axioms
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- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- ZeroMemClass.coe_eq_zeroproof · cited by 11
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