Theorems · Theorem · ring theory
mem_subalgebraOfSubring
∀ {R : Type u_1} [inst : Ring R] {x : R} {S : Subring R}, x ∈ subalgebraOfSubring S ↔ x ∈ S- 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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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Subalgebrastatement · cited by 1,353
- Subringstatement and proof · cited by 602
- subalgebraOfSubringstatement · cited by 5
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