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Theorems · Theorem · ring theory

NonUnitalSubring.map.congr_simp

∀ {F : Type w} {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S]
  [inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] (f f_1 : F),
  f = f_1 → ∀ (s s_1 : NonUnitalSubring R), s = s_1 → NonUnitalSubring.map f s = NonUnitalSubring.map f_1 s_1
Defined in
Mathlib.RingTheory.NonUnitalSubring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext
Assumes
NonUnitalNonAssocRingNonUnitalNonAssocRingFunLikeNonUnitalRingHomClass
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Around this declaration

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NonUnitalRingHom.map_range · cited by 0NonUnitalRingHom.map_rangeFunLike · cited by 2560FunLikeNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingNonUnitalSubring · cited by 185NonUnitalSubringNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassNonUnitalSubring.map · cited by 19NonUnitalSubring.mapmap.congr_simpCITED BYCITES

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Cited by1

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