Theorems · Theorem · ring theory
subalgebraOfSubring_toSubsemiring
∀ {R : Type u_1} [inst : Ring R] (S : Subring R), (subalgebraOfSubring S).toSubsemiring = S.toSubsemiring- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
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- Ringstatement and proof · cited by 7,463
- Subringstatement and proof · cited by 602
- Subsemiringstatement · cited by 456
- Subalgebra.toSubsemiringstatement and proof · cited by 115
- Subring.toSubsemiringstatement · cited by 71
- subalgebraOfSubringstatement and proof · cited by 5
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