fix(library/theories/group_theory/{basic,quotient}): small fixes
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2 changed files with 3 additions and 3 deletions
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@ -11,7 +11,7 @@ For notation a^b and S^a, open the namespace "conj_notation".
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TODO: homomorphisms on sets should be refactored and moved to algebra.
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-/
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import data.set algebra.homomorphism theories.topology.basic theories.move
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import data.set algebra.homomorphism theories.move
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open eq.ops set function
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namespace group_theory
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@ -140,12 +140,12 @@ take y, quot.induction_on y (λ a, exists.intro a rfl)
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variable {H}
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proposition quotient_induction {P : quotient H → Prop} (h : ∀ a, P (a '* H)) : ∀ a, P a :=
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surjective_induction (surjective_qproj H) h
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quot.ind h
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proposition quotient_induction₂ {P : quotient H → quotient H → Prop}
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(h : ∀ a₁ a₂, P (a₁ '* H) (a₂ '* H)) :
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∀ a₁ a₂, P a₁ a₂ :=
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surjective_induction₂ (surjective_qproj H) h
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quot.ind₂ h
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variable (H)
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