Theorems · Theorem · ring theory
NonUnitalSubring.mem_map_equiv
∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocRing R] [inst_1 : NonUnitalNonAssocRing S] {f : R ≃+* S}
{K : NonUnitalSubring R} {x : S}, x ∈ NonUnitalSubring.map (↑f) K ↔ f.symm x ∈ K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingEquivstatement and proof · cited by 1,147
- RingEquiv.symmstatement · cited by 567
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalRingHomstatement · cited by 157
- NonUnitalRingHomClass.toNonUnitalRingHomstatement · cited by 26
- Set.mem_image_equivproof · cited by 22
- NonUnitalSubring.mapstatement · cited by 19
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