Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.ext_iff
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : Star A] {S T : NonUnitalStarSubalgebra R A}, S = T ↔ ∀ (x : A), x ∈ S ↔ x ∈ T- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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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
- NonUnitalStarSubalgebra.extproof · cited by 7
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