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Theorems · Theorem · group theory

IsPGroup.of_surjective

∀ {p : ℕ} {G : Type u_1} [inst : Group G],
  IsPGroup p G → ∀ {H : Type u_2} [inst_1 : Group H] (ϕ : G →* H), Function.Surjective ⇑ϕ → IsPGroup p H
Defined in
Mathlib.GroupTheory.PGroup
Cited by
3 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext
Assumes
GroupGroup
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Around this declaration

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

IsPGroup.map · cited by 4IsPGroup.mapIsPGroup.to_quotient · cited by 4IsPGroup.to_quotientIsPGroup.of_equiv · cited by 2IsPGroup.of_equivDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomIsPGroup · cited by 96IsPGroupMonoidHom.map_pow · cited by 30MonoidHom.map_powMonoidHom.map_one · cited by 27MonoidHom.map_oneIsPGroup.of_surjectiveCITED BYCITES

Cites6

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Cited by3

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