fact: Definition islunit_cat {L} (f : C⟦L ⊗ L,L⟧) (u : C⟦TC,L⟧) : UU := ι · (u ×× 1) · f = 1.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Algebra.Monoids UniMath.OrderTheory.Lattice.Lattice UniMath.OrderTheory.Lattice.Bounded UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal