Theorems · Theorem · ring theory
Subalgebra.unop_iSup
∀ {ι : Sort u_1} {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
(S : ι → Subalgebra R Aᵐᵒᵖ), (iSup S).unop = ⨆ i, (S i).unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- iSupstatement · cited by 2,415
- Subalgebrastatement and proof · cited by 1,353
- MulOppositestatement and proof · cited by 1,135
- OrderIso.symmproof · cited by 475
- OrderIso.map_iSupproof · cited by 25
- Subalgebra.unopstatement · cited by 21
- Subalgebra.opEquivproof · cited by 18
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