Theorems · Theorem · order theory
OrderIso.complementedLattice
∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] [inst_2 : BoundedOrder α]
[inst_3 : BoundedOrder β] [ComplementedLattice α] (f : α ≃o β), ComplementedLattice β- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Latticestatement and proof · cited by 916
- OrderIsostatement and proof · cited by 874
- OrderIso.symmproof · cited by 475
- IsComplproof · cited by 351
- BoundedOrderstatement and proof · cited by 270
- OrderIso.symm_apply_applyproof · cited by 41
- ComplementedLatticestatement and proof · cited by 30
- ComplementedLattice.exists_isComplproof · cited by 15
- OrderIso.isCompl_iffproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- OrderIso.complementedLattice_iffproof · cited by 8
- RingEquiv.isSemisimpleRingproof · cited by 6
- IsSemisimpleModule.congrproof · cited by 6
- Submodule.isSemisimple_torsionBy_of_irreducibleproof · cited by 0