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Theorems · Theorem · commutative algebra

Subring.map_comap_eq

∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (f : R →+* S) (t : Subring S),
  Subring.map f (Subring.comap f t) = t ⊓ f.range
Defined in
Mathlib.Algebra.Ring.Subring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocRingNonAssocRing
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Around this declaration

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

Subring.map_comap_eq_self · cited by 1Subring.map_comap_eq_selfRingHom · cited by 10189RingHomSubring · cited by 602SubringNonAssocRing · cited by 483NonAssocRingSetLike.coe_injective · cited by 374SetLike.coe_injectiveRingHom.range · cited by 138RingHom.rangeSet.image_preimage_eq_inter_range · cited by 121Set.image_preimage_eq_int…Subring.map · cited by 33Subring.mapSubring.comap · cited by 22Subring.comapSubring.map_comap_eqCITED BYCITES

Cites8

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Cited by1

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