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§ Mnemonic for Why eta Is Unit:

created 2021-11-11
  • Remember that given an adjunction F⊢GF \vdash GF⊢G, the unit of the adjunction is η:1→GF\eta: 1 \to GFη:1→GF.
  • We use the symbol eta because it's yunit, and eta is y in greek (which is why the vim digraph for eta is C-k y*)
  • η\etaη is unit, since when you flip it, you get μ\muμ, which is μ\muμ-ltiplication (multiplication). Hence η\etaη is the unit for the multiplication to form a monoidal structure for the monad.
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