Theorems · Theorem · order theory
CompositionSeries.mem_eraseLast_of_ne_of_mem
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {s : CompositionSeries X} {x : X},
x ≠ RelSeries.last s → x ∈ s → x ∈ RelSeries.eraseLast s- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 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.
Cites15
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
- lt_of_le_of_neproof · cited by 230
- 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 · cited by 42
- CompositionSeriesstatement and proof · cited by 40
- RelSeries.eraseLaststatement · cited by 21
- RelSeries.last_memproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CompositionSeries.mem_eraseLastproof · cited by 2