Theorems · Theorem · order theory
OrderIso.complementedLattice_iff
∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] [inst_2 : BoundedOrder α]
[inst_3 : BoundedOrder β] (f : α ≃o β), ComplementedLattice α ↔ ComplementedLattice β- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- OrderIsostatement and proof · cited by 874
- OrderIso.symmproof · cited by 475
- BoundedOrderstatement and proof · cited by 270
- ComplementedLatticestatement and proof · cited by 30
- OrderIso.complementedLatticeproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- LinearMap.isSemisimpleModule_iff_of_bijectiveproof · cited by 4
- isSemisimpleModule_of_isSemisimpleModule_submoduleproof · cited by 2
- Module.End.IsSemisimple.restrictproof · cited by 1
- LinearEquiv.isSemisimple_iffproof · cited by 1
- Module.End.isSemisimple_iff'proof · cited by 0
- Module.End.isSemisimple_restrict_iffproof · cited by 0