Theorems · Theorem · commutative algebra
SubsemiringClass.subtype_injective
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : SetLike S R] [hSR : SubsemiringClass S R] (s : S),
Function.Injective ⇑(SubsemiringClass.subtype s)- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites6
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 · cited by 10,189
- SetLikestatement and proof · cited by 1,084
- NonAssocSemiringstatement and proof · cited by 805
- SubsemiringClassstatement and proof · cited by 30
- SubsemiringClass.subtypestatement · cited by 5
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