Theorems · Theorem · order theory
CompositionSeries.injective
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] (s : CompositionSeries X), Function.Injective s.toFun- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 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.
Cites9
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
- RelSeries.lengthstatement · cited by 195
- RelSeries.toFunstatement · cited by 114
- StrictMono.injectiveproof · cited by 94
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- CompositionSeries.strictMonoproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CompositionSeries.injproof · cited by 1