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Theorems · Theorem · order theory

JordanHolderLattice.isMaximal_inf_left_of_isMaximal_sup

∀ {X : Type u} {inst : Lattice X} [self : JordanHolderLattice X] {x y : X},
  JordanHolderLattice.IsMaximal x (x ⊔ y) →
    JordanHolderLattice.IsMaximal y (x ⊔ y) → JordanHolderLattice.IsMaximal (x ⊓ y) x
Defined in
Mathlib.Order.JordanHolder
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
JordanHolderLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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JordanHolderLattice.isMaximal_inf_right_of_isMaximal_sup · cited by 1JordanHolderLattice.isMax…Lattice · cited by 916LatticeJordanHolderLattice · cited by 44JordanHolderLatticeJordanHolderLattice.IsMaximal · cited by 42JordanHolderLattice.IsMax…JordanHolderLattice.isMaximal…CITED BYCITES

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