Theorems · Definition · commutative algebra
Subsemiring.inclusion
{R : Type u} → [inst : NonAssocSemiring R] → {S T : Subsemiring R} → S ≤ T → ↥S →+* ↥TThe ring homomorphism associated to an inclusion of subsemirings.
- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
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.
- RingHomstatement · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- RingHom.codRestrictproof · cited by 12
- Subsemiring.subtypeproof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- separableClosure.adjoin_eq_of_isAlgebraic_of_isSeparableproof · cited by 2
- InfiniteGalois.proj_of_leproof · cited by 1
- Subsemiring.inclusion_injectivestatement · cited by 1
- finGaloisGroupMap.map_compproof · cited by 0