Theorems · Theorem · order theory
JordanHolderLattice.second_iso_of_eq
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {x y a b : X},
JordanHolderLattice.IsMaximal x a → x ⊔ y = a → x ⊓ y = b → JordanHolderLattice.Iso (x, a) (b, y)- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- LatticeJordanHolderLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- JordanHolderLatticestatement and proof · cited by 44
- JordanHolderLattice.IsMaximalstatement and proof · cited by 42
- JordanHolderLattice.Isostatement · cited by 13
- JordanHolderLattice.second_isoproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CompositionSeries.exists_last_eq_snoc_equivalentproof · cited by 1