Theorems · Theorem · commutative algebra
Subsemiring.mem_comap
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] {s : Subsemiring S} {f : R →+* S}
{x : R}, x ∈ Subsemiring.comap f s ↔ f x ∈ s- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- Subsemiring.comapstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.sclosure_preimage_leproof · cited by 0