Theorems · Theorem · order theory
CompositionSeries.isMaximal_eraseLast_last
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {s : CompositionSeries X},
0 < s.length → JordanHolderLattice.IsMaximal (RelSeries.eraseLast s).last (RelSeries.last s)- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeJordanHolderLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement and proof · cited by 6,101
- Latticestatement and proof · cited by 916
- SetRelproof · cited by 581
- RelSeries.lengthstatement and proof · cited by 195
- RelSeriesproof · cited by 129
- RelSeries.laststatement and proof · cited by 114
- RelSeries.toFunproof · cited by 114
- tsub_add_cancel_of_leproof · cited by 112
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement and proof · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- RelSeries.eraseLaststatement · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- CompositionSeries.eq_snoc_eraseLaststatement · cited by 3
- CompositionSeries.exists_last_eq_snoc_equivalentproof · cited by 1
- CompositionSeries.jordan_holderproof · cited by 1