Theorems · Theorem · ring theory
Subsemiring.unop_sInf
∀ {R : Type u_2} [inst : NonAssocSemiring R] (S : Set (Subsemiring Rᵐᵒᵖ)), (sInf S).unop = sInf (Subsemiring.op ⁻¹' S)- 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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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.preimagestatement · cited by 4,946
- MulOppositestatement and proof · cited by 1,135
- InfSet.sInfstatement · cited by 935
- NonAssocSemiringstatement and proof · cited by 805
- OrderIso.symmproof · cited by 475
- Subsemiringstatement and proof · cited by 456
- Subsemiring.opstatement · cited by 43
- Subsemiring.unopstatement · cited by 26
- Subsemiring.opEquivproof · cited by 18
- OrderIso.map_sInf_eq_sInf_symm_preimageproof · cited by 18
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