Theorems · Theorem · order theory
CompositionSeries.inj
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] (s : CompositionSeries X) {i j : Fin s.length.succ},
s.toFun i = s.toFun j ↔ i = j- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 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.
Cites8
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 and proof · 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
- CompositionSeries.injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CompositionSeries.mem_eraseLast_of_ne_of_memproof · cited by 1