Theorems · Theorem · ring theory
Subalgebra.op_inf
∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
(S₁ S₂ : Subalgebra R A), (S₁ ⊓ S₂).op = S₁.op ⊓ S₂.op- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Subalgebrastatement and proof · cited by 1,353
- MulOppositestatement · cited by 1,135
- Subalgebra.opstatement · cited by 30
- Subalgebra.opEquivproof · cited by 18
- OrderIso.map_infproof · cited by 17
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