Theorems · Definition · order theory
JordanHolderLattice.IsMaximal
{X : Type u} → {inst : Lattice X} → [self : JordanHolderLattice X] → X → X → Prop- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- JordanHolderLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- JordanHolderLatticestatement and proof · cited by 44
Cited by44
Results whose statement or proof uses this declaration.
- CompositionSeriesproof · cited by 40
- JordanHolderLattice.Isoproof · cited by 13
- CompositionSeries.strictMonostatement · cited by 6
- Module.length_eq_add_of_exactproof · cited by 6
- Module.length_compositionSeriesstatement and proof · cited by 4
- isFiniteLength_iff_exists_compositionSeriesstatement · cited by 4
- CompositionSeries.extstatement · cited by 3
- CompositionSeries.isMaximal_eraseLast_laststatement and proof · cited by 3
- JordanHolderLattice.lt_of_isMaximalstatement · cited by 3
- isFiniteLength_of_exists_compositionSeriesstatement and proof · cited by 3
- CompositionSeries.eq_snoc_eraseLaststatement · cited by 3
- CompositionSeries.injectivestatement · cited by 2