Theorems · Theorem · order theory
iSupIndep_map_orderIso_iff
∀ {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 (⇑f ∘ a) ↔ iSupIndep a- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CompleteLatticestatement and proof · cited by 1,048
- OrderIsostatement and proof · cited by 874
- OrderIso.symmproof · cited by 475
- RelIso.toEquivproof · cited by 113
- iSupIndepstatement and proof · cited by 100
- Equiv.left_invproof · cited by 59
- Function.LeftInverse.comp_eq_idproof · cited by 13
- iSupIndep.map_orderIsoproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- iSupIndep_of_dfinsuppSumAddHom_injective'proof · cited by 2
- HahnEmbedding.ArchimedeanStrata.iSupIndep_stratum'proof · cited by 1
- iSupIndep.dfinsuppSumAddHom_injectiveproof · cited by 1
- iSupIndep_of_dfinsuppSumAddHom_injectiveproof · cited by 1
- DirectSum.isInternal_biSup_submodule_of_iSupIndepproof · cited by 1