Theorems · Theorem · ring theory
Subsemiring.op_iInf
∀ {ι : Sort u_1} {R : Type u_2} [inst : NonAssocSemiring R] (S : ι → Subsemiring R), (iInf S).op = ⨅ i, (S i).op- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iInfstatement · cited by 1,690
- MulOppositestatement · cited by 1,135
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- Subsemiring.opstatement · cited by 43
- OrderIso.map_iInfproof · cited by 25
- Subsemiring.opEquivproof · cited by 18
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.