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Mathlib.Algebra.Order.Hom.Lattice

Results on order homomorphism classes and lattice operations #

theorem Finite.iSup_eq_iSup_subtype {ι : Type u_1} {K : Type u_2} {M : Type u_3} {F : Type u_4} [Finite ι] [Zero K] [Zero M] [ConditionallyCompleteLattice M] [FunLike F K M] [ZeroHomClass F K M] [NonnegHomClass F K M] {x : ιK} (hx : x 0) {v : F} :
⨆ (i : ι), v (x i) = ⨆ (i : { j : ι // x j 0 }), v (x i)