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Fix typo indcuedHomEquivalence #1221

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Merged
felixwellen merged 1 commit into from
Jul 7, 2025
Merged

Fix typo indcuedHomEquivalence #1221

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10 changes: 5 additions & 5 deletions Cubical/Algebra/CommAlgebra/UnivariatePolyList.agda
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Original file line number Diff line number Diff line change
Expand Up @@ -221,11 +221,11 @@ module _ (R : CommRing ℓ) where


{- Reforumlation in terms of the R-AlgebraHom from R[X] to A -}
indcuedHomEquivalence : AlgebraHom (CommAlgebra→Algebra ListPolyCommAlgebra) A ≃ ⟨ A ⟩
fst indcuedHomEquivalence f = fst f X
fst (fst (equiv-proof (snd indcuedHomEquivalence) x)) = inducedHom x
snd (fst (equiv-proof (snd indcuedHomEquivalence) x)) = inducedMapGenerator x
snd (equiv-proof (snd indcuedHomEquivalence) x) (g , gX≡x) =
inducedHomEquivalence : AlgebraHom (CommAlgebra→Algebra ListPolyCommAlgebra) A ≃ ⟨ A ⟩
fst inducedHomEquivalence f = fst f X
fst (fst (equiv-proof (snd inducedHomEquivalence) x)) = inducedHom x
snd (fst (equiv-proof (snd inducedHomEquivalence) x)) = inducedMapGenerator x
snd (equiv-proof (snd inducedHomEquivalence) x) (g , gX≡x) =
Σ≡Prop (λ _ → is-set _ _) (sym (inducedHomUnique x g gX≡x))

equalByUMP : (f g : AlgebraHom (CommAlgebra→Algebra ListPolyCommAlgebra) A)
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