Theorems · Theorem · commutative algebra
Subsemiring.comap_iInf
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] {ι : Sort u_1} (f : R →+* S)
(s : ι → Subsemiring S), Subsemiring.comap f (iInf s) = ⨅ i, Subsemiring.comap f (s i)- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- iInfstatement · cited by 1,690
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- GaloisConnection.u_iInfproof · cited by 40
- Subsemiring.comapstatement · cited by 20
- Subsemiring.gc_map_comapproof · cited by 7
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