Theorems · Definition · ring theory
NonUnitalSubsemiringClass.subtype
{R : Type u} →
{S : Type v} →
[inst : NonUnitalNonAssocSemiring R] →
[inst_1 : SetLike S R] → [inst_2 : NonUnitalSubsemiringClass S R] → (s : S) → ↥s →ₙ+* RThe natural non-unital ring hom from a non-unital subsemiring of a non-unital semiring R to
R.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomproof · cited by 3,230
- SetLikestatement and proof · cited by 1,084
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- MulHomproof · cited by 299
- NonUnitalRingHomstatement · cited by 157
- NonUnitalSubsemiringClassstatement and proof · cited by 22
- AddSubmonoidClass.subtypeproof · cited by 12
- MulMemClass.subtypeproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- NonUnitalSubalgebraClass.subtypeproof · cited by 9
- NonUnitalSubringClass.subtypeproof · cited by 6
- RingEquiv.sofLeftInverse'proof · cited by 2
- NonUnitalSubsemiringClass.coe_subtypestatement · cited by 0
- NonUnitalSubsemiring.srange_subtypestatement and proof · cited by 0
- NonUnitalSubalgebra.toNonUnitalSubsemiring_subtypestatement · cited by 0
- NonUnitalSubsemiringClass.subtype_applystatement · cited by 0
- NonUnitalSubsemiringClass.subtype_injectivestatement · cited by 0
- NonUnitalSubsemiring.inclusionproof · cited by 0