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Theorems · Definition · order theory

OmegaCompletePartialOrder.Chain.zip

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] →
        OmegaCompletePartialOrder.Chain α → OmegaCompletePartialOrder.Chain β → OmegaCompletePartialOrder.Chain (α × β)

OmegaCompletePartialOrder.Chain.zip pairs up the elements of two chains that have the same index.

Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
6 results in Mathlib
Foundations
Depth 22 from the axioms · uses no axioms
Assumes
PreorderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OmegaCompletePartialOrder.Chain.zip_apply · cited by 1Chain.zip_applyOmegaCompletePartialOrder.Chain.pair_zip_pair · cited by 0Chain.pair_zip_pairProd.ωSup_zip · cited by 0Prod.ωSup_zipOmegaCompletePartialOrder.Chain.zip_coe · cited by 0Chain.zip_coeOmegaCompletePartialOrder.Chain.zip_toOrderHom · cited by 0Chain.zip_toOrderHomOmegaCompletePartialOrder.ContinuousHom.ωSup_apply_ωSup · cited by 0ContinuousHom.ωSup_apply_…Preorder · cited by 7952PreorderOrderHom · cited by 934OrderHomOmegaCompletePartialOrder.Chain · cited by 85OmegaCompletePartialOrder…OmegaCompletePartialOrder.Chain.toOrderHom · cited by 10Chain.toOrderHomOrderHom.prod · cited by 8OrderHom.prodChain.zipCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.