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Theorems · Theorem · order theory

Order.height_orderIso

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (f : α ≃o β) (x : α),
  Order.height (f x) = Order.height x
Defined in
Mathlib.Order.KrullDimension
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderPreorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Order.coheight_orderIso · cited by 4Order.coheight_orderIsoDFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderENat · cited by 4985ENatle_antisymm · cited by 2068le_antisymmOrderIso · cited by 874OrderIsoOrderIso.symm · cited by 475OrderIso.symmOrder.height · cited by 67Order.heightOrderIso.symm_apply_apply · cited by 41OrderIso.symm_apply_applyOrderIso.strictMono · cited by 26OrderIso.strictMonoOrder.height_le_height_apply_of_strictMono · cited by 2Order.height_le_height_ap…Order.height_orderIsoCITED BYCITES

Cites10

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Cited by1

Results whose statement or proof uses this declaration.