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Theorems · Theorem · order theory

JordanHolderLattice.isMaximal_inf_right_of_isMaximal_sup

∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {x y : X},
  JordanHolderLattice.IsMaximal x (x ⊔ y) →
    JordanHolderLattice.IsMaximal y (x ⊔ y) → JordanHolderLattice.IsMaximal (x ⊓ y) y
Defined in
Mathlib.Order.JordanHolder
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext
Assumes
LatticeJordanHolderLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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JordanHolderLattice.isMaximal_of_eq_inf · cited by 1JordanHolderLattice.isMax…Lattice · cited by 916Latticesup_comm · cited by 165sup_comminf_comm · cited by 139inf_commJordanHolderLattice · cited by 44JordanHolderLatticeJordanHolderLattice.IsMaximal · cited by 42JordanHolderLattice.IsMax…JordanHolderLattice.isMaximal_inf_left_of_isMaximal_sup · cited by 1JordanHolderLattice.isMax…JordanHolderLattice.isMaximal…CITED BYCITES

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Cited by1

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