Theorems · Theorem · ring theory
NonUnitalSubsemiring.coe_comap
∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] {F : Type u_1}
[inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] (s : NonUnitalSubsemiring S) (f : F),
↑(NonUnitalSubsemiring.comap f s) = ⇑f ⁻¹' ↑s- Cited by
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- Foundations
- Depth 18 from the axioms · uses no axioms
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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
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement and proof · cited by 201
- NonUnitalRingHomClassstatement and proof · cited by 82
- NonUnitalSubsemiring.comapstatement · cited by 14
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