add foldl/map Monoid Homomorphisms#1308
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foldl is a monoid homomorphism from List A to any monoid on A
eiais
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mortberg
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May 18, 2026
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mortberg
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Thanks a lot. I have a few small comments before this can be merged
| MonoidStr.isMonoid (snd (ListMonoid (_ , pf))) = makeIsMonoid (isOfHLevelList 0 pf) | ||
| (λ x y z → sym (++-assoc x y z)) ++-unit-r (λ _ → refl) | ||
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| foldlMonHom : (M : Monoid ℓ-zero) → MonoidHom (ListMonoid (fst M , MonoidStr.is-set (snd M))) M |
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Why is this only for level zero? Can't it be universe polymorphic?
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Also, why decompose M? Shouldn't ListMonoid M work?
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Made it universe polymorphic :). I dont think ListMonoid M works because I only need fact that it's a set from the structure.
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foldl is a monoid homomorphism from List A to any monoid on A