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Theorems · Theorem · group theory

PresentedGroup.induction_on

∀ {α : Type u_1} {rels : Set (FreeGroup α)} {C : PresentedGroup rels → Prop} (x : PresentedGroup rels),
  (∀ (z : FreeGroup α), C ((PresentedGroup.mk rels) z)) → C x
Defined in
Mathlib.GroupTheory.PresentedGroup
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Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMonoidHom · cited by 3629MonoidHomFreeGroup · cited by 132FreeGroupQuotient.inductionOn' · cited by 69Quotient.inductionOn'PresentedGroup · cited by 21PresentedGroupPresentedGroup.mk · cited by 10PresentedGroup.mkPresentedGroup.induction_onCITED BYCITES

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