Theorems · Theorem · order theory
CompositionSeries.snoc_eraseLast_last
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {s : CompositionSeries X}
(h : JordanHolderLattice.IsMaximal (RelSeries.eraseLast s).last (RelSeries.last s)),
(RelSeries.eraseLast s).snoc (RelSeries.last s) h = s- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- zero_addproof · cited by 2,366
- Latticestatement and proof · cited by 916
- ne_of_gtproof · cited by 637
- RelSeries.lengthproof · cited by 195
- RelSeriesstatement · cited by 129
- RelSeries.laststatement and proof · cited by 114
- RelSeries.toFunproof · cited by 114
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement and proof · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- RelSeries.snocstatement · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- CompositionSeries.exists_last_eq_snoc_equivalentproof · cited by 1