Theorems · Theorem · ring theory
Subsemiring.unop_iInf
∀ {ι : Sort u_1} {R : Type u_2} [inst : NonAssocSemiring R] (S : ι → Subsemiring Rᵐᵒᵖ), (iInf S).unop = ⨅ i, (S i).unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
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.
- iInfstatement · cited by 1,690
- MulOppositestatement and proof · cited by 1,135
- NonAssocSemiringstatement and proof · cited by 805
- OrderIso.symmproof · cited by 475
- Subsemiringstatement and proof · cited by 456
- Subsemiring.unopstatement · cited by 26
- OrderIso.map_iInfproof · cited by 25
- Subsemiring.opEquivproof · cited by 18
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