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Theorems · Theorem · order theory

sSupHom.symm_dual_comp

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : SupSet α] [inst_1 : SupSet β] [inst_2 : SupSet γ]
  (g : sInfHom βᵒᵈ γᵒᵈ) (f : sInfHom αᵒᵈ βᵒᵈ),
  sSupHom.dual.symm (g.comp f) = (sSupHom.dual.symm g).comp (sSupHom.dual.symm f)
Defined in
Mathlib.Order.Hom.CompleteLattice
Cited by
0 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
SupSetSupSetSupSet
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DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmOrderDual · cited by 927OrderDualSupSet · cited by 154SupSetsInfHom · cited by 43sInfHomsSupHom · cited by 40sSupHomsSupHom.comp · cited by 11sSupHom.compsInfHom.comp · cited by 11sInfHom.compsSupHom.dual · cited by 7sSupHom.dualsSupHom.symm_dual_compCITED BYCITES

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