Theorems · Definition · order theory
OmegaCompletePartialOrder.Chain.map
{α : Type u_2} →
{β : Type u_3} →
[inst : Preorder α] →
[inst_1 : Preorder β] → OmegaCompletePartialOrder.Chain α → (α →o β) → OmegaCompletePartialOrder.Chain βmap function for Chain
- Defined in
- Mathlib.Order.OmegaCompletePartialOrder
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement and proof · cited by 934
- OmegaCompletePartialOrder.Chainstatement and proof · cited by 85
- OrderHom.compproof · cited by 61
- OmegaCompletePartialOrder.Chain.toOrderHomproof · cited by 10
Cited by51
Results whose statement or proof uses this declaration.
- OmegaCompletePartialOrder.ωScottContinuous.map_ωSupstatement · cited by 11
- OmegaCompletePartialOrder.ωScottContinuous.of_monotone_map_ωSupstatement · cited by 9
- OmegaCompletePartialOrder.ωScottContinuous.of_map_ωSup_of_orderHomstatement · cited by 4
- OmegaCompletePartialOrder.ωScottContinuous_iff_monotone_map_ωSupstatement and proof · cited by 3
- OmegaCompletePartialOrder.Chain.map_compstatement · cited by 3
- OmegaCompletePartialOrder.ContinuousHom.ωSupproof · cited by 3
- OmegaCompletePartialOrder.ωScottContinuous_iff_map_ωSup_of_orderHomstatement and proof · cited by 2
- OmegaCompletePartialOrder.ContinuousHom.continuousstatement · cited by 2
- Prod.ωSupImplproof · cited by 2
- OmegaCompletePartialOrder.ContinuousHom.ωScottContinuous.bindproof · cited by 2
- OmegaCompletePartialOrder.ωScottContinuous.compproof · cited by 2
- OmegaCompletePartialOrder.Chain.mem_mapstatement and proof · cited by 1