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Theorems · Theorem · ring theory

TwoSidedIdeal.comap_le_comap

∀ {R : Type u_1} {S : Type u_2} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {F : Type u_3}
  [inst_2 : FunLike F R S] (f : F) [inst_3 : NonUnitalRingHomClass F R S] {I J : TwoSidedIdeal S},
  I ≤ J → (TwoSidedIdeal.comap f) I ≤ (TwoSidedIdeal.comap f) J
Defined in
Mathlib.RingTheory.TwoSidedIdeal.Operations
Cited by
0 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeOrderHom · cited by 934OrderHomNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingTwoSidedIdeal · cited by 151TwoSidedIdealNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassOrderHom.monotone · cited by 70OrderHom.monotoneTwoSidedIdeal.comap · cited by 5TwoSidedIdeal.comapTwoSidedIdeal.comap_le_comapCITED BYCITES

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