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Theorems · Theorem · order theory

OrderIso.withTopCongr_trans

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : PartialOrder α] [inst_1 : PartialOrder β]
  [inst_2 : PartialOrder γ] (e₁ : α ≃o β) (e₂ : β ≃o γ),
  (e₁.trans e₂).withTopCongr = e₁.withTopCongr.trans e₂.withTopCongr
Defined in
Mathlib.Order.Hom.WithTopBot
Cited by
0 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
PartialOrderPartialOrderPartialOrder
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PartialOrder · cited by 6410PartialOrderWithTop · cited by 3754WithTopOrderIso · cited by 874OrderIsoRelIso.toEquiv · cited by 113RelIso.toEquivOrderIso.trans · cited by 31OrderIso.transOrderIso.withTopCongr · cited by 6OrderIso.withTopCongrRelIso.toEquiv_injective · cited by 6RelIso.toEquiv_injectiveEquiv.withTopCongr_trans · cited by 1Equiv.withTopCongr_transOrderIso.withTopCongr_transCITED BYCITES

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