Theorems · Theorem · order theory
iSupIndep.map_orderIso
∀ {ι : Sort u_5} {α : Type u_6} {β : Type u_7} [inst : CompleteLattice α] [inst_1 : CompleteLattice β] (f : α ≃o β)
{a : ι → α}, iSupIndep a → iSupIndep (⇑f ∘ a)Composing an independent indexed family with an order isomorphism on the elements results in another independent indexed family.
- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CompleteLatticestatement and proof · cited by 1,048
- OrderIsostatement and proof · cited by 874
- iSupIndepstatement and proof · cited by 100
- Disjoint.mono_rightproof · cited by 64
- OrderIso.monotoneproof · cited by 23
- Monotone.le_map_iSup₂proof · cited by 4
- Disjoint.map_orderIsoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- iSupIndep_map_orderIso_iffproof · cited by 5