Theorems · Theorem · commutative algebra
SubringClass.subtype_injective
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : SetLike S R] [hSR : SubringClass S R] (s : S),
Function.Injective ⇑(SubringClass.subtype s)- Defined in
- Mathlib.Algebra.Ring.Subring.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- SetLikestatement and proof · cited by 1,084
- NonAssocRingstatement and proof · cited by 483
- Subtype.coe_injectiveproof · cited by 205
- SubringClassstatement and proof · cited by 20
- SubringClass.subtypestatement · cited by 3
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