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Theorems · Theorem · order theory

OmegaCompletePartialOrder.Chain.map_le_map

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (c : OmegaCompletePartialOrder.Chain α)
  {f g : α →o β}, f ≤ g → c.map f ≤ c.map g
Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
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Foundations
Depth 27 from the axioms · uses propext
Assumes
PreorderPreorder
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DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderOrderHom · cited by 934OrderHomOmegaCompletePartialOrder.Chain · cited by 85OmegaCompletePartialOrder…OmegaCompletePartialOrder.Chain.map · cited by 41Chain.mapOmegaCompletePartialOrder.Chain.toOrderHom · cited by 10Chain.toOrderHomChain.map_le_mapCITED BYCITES

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