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Theorems · Theorem · order theory

JordanHolderLattice.sup_eq_of_isMaximal

∀ {X : Type u} {inst : Lattice X} [self : JordanHolderLattice X] {x y z : X},
  JordanHolderLattice.IsMaximal x z → JordanHolderLattice.IsMaximal y z → x ≠ y → x ⊔ y = z
Defined in
Mathlib.Order.JordanHolder
Cited by
2 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
JordanHolderLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CompositionSeries.exists_last_eq_snoc_equivalent · cited by 1CompositionSeries.exists_…JordanHolderLattice.isMaximal_of_eq_inf · cited by 1JordanHolderLattice.isMax…Lattice · cited by 916LatticeJordanHolderLattice · cited by 44JordanHolderLatticeJordanHolderLattice.IsMaximal · cited by 42JordanHolderLattice.IsMax…JordanHolderLattice.sup_eq_of…CITED BYCITES

Cites3

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Cited by2

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