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Theorems · Theorem · order theory

CompleteLatticeHom.symm_dual_comp

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : CompleteLattice α] [inst_1 : CompleteLattice β]
  [inst_2 : CompleteLattice γ] (g : CompleteLatticeHom βᵒᵈ γᵒᵈ) (f : CompleteLatticeHom αᵒᵈ βᵒᵈ),
  CompleteLatticeHom.dual.symm (g.comp f) = (CompleteLatticeHom.dual.symm g).comp (CompleteLatticeHom.dual.symm f)
Defined in
Mathlib.Order.Hom.CompleteLattice
Cited by
0 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
CompleteLatticeCompleteLatticeCompleteLattice
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DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmCompleteLattice · cited by 1048CompleteLatticeOrderDual · cited by 927OrderDualCompleteLatticeHom · cited by 50CompleteLatticeHomCompleteLatticeHom.comp · cited by 10CompleteLatticeHom.compCompleteLatticeHom.dual · cited by 8CompleteLatticeHom.dualCompleteLatticeHom.symm_dual_…CITED BYCITES

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