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Theorems · Theorem · commutative algebra

Subring.inclusion_injective

∀ {R : Type u} [inst : NonAssocRing R] {S T : Subring R} (h : S ≤ T), Function.Injective ⇑(Subring.inclusion h)
Defined in
Mathlib.Algebra.Ring.Subring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Quot.sound
Assumes
NonAssocRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ValuationSubring.idealOfLE_top · cited by 0ValuationSubring.idealOfL…DFunLike.coe · cited by 62936DFunLike.coeRingHom · cited by 10189RingHomSubring · cited by 602SubringNonAssocRing · cited by 483NonAssocRingSubring.inclusion · cited by 13Subring.inclusionRingHom.injective_codRestrict · cited by 3RingHom.injective_codRest…Subring.subtype_injective · cited by 2Subring.subtype_injectiveSubring.inclusion_injectiveCITED BYCITES

Cites7

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Cited by1

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