Theorems · Theorem · commutative algebra
Subring.subtype_injective
∀ {R : Type u} [inst : NonAssocRing R] (s : Subring R), Function.Injective ⇑s.subtype- Defined in
- Mathlib.Algebra.Ring.Subring.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
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.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subsemiring.toSubmonoidproof · cited by 153
- Subring.toSubsemiringproof · cited by 71
- Subring.subtypestatement · cited by 22
- Submonoid.subtype_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Subring.inclusion_injectiveproof · cited by 1
- ValuationSubring.subtype_injectiveproof · cited by 0