Theorems · Theorem · order theory
CompositionSeries.strictMono
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] (s : CompositionSeries X), StrictMono s.toFun- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- Latticestatement and proof · cited by 916
- StrictMonostatement · cited by 706
- RelSeries.lengthstatement · cited by 195
- RelSeries.toFunstatement · cited by 114
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- Fin.strictMono_iff_lt_succproof · cited by 9
- CompositionSeries.lt_succproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- CompositionSeries.toList_sortedproof · cited by 2
- CompositionSeries.injectiveproof · cited by 2
- CompositionSeries.head_leproof · cited by 1
- CompositionSeries.le_lastproof · cited by 1
- CompositionSeries.totalproof · cited by 0
- CompositionSeries.last_eraseLast_leproof · cited by 0