Theorems · Theorem · order theory
CompositionSeries.last_eraseLast_le
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] (s : CompositionSeries X),
(RelSeries.eraseLast s).last ≤ RelSeries.last s- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeJordanHolderLattice
Around this declaration
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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
- RelSeries.lengthproof · cited by 195
- RelSeries.laststatement · cited by 114
- StrictMono.le_iff_leproof · cited by 104
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- RelSeries.eraseLaststatement · cited by 21
- CompositionSeries.strictMonoproof · cited by 6
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