Theorems · Theorem · order theory
DistribLattice.mem_ideal_sup_principal
Deprecated since 2026-06-11Use Lattice.mem_ideal_sup_principal instead.
∀ {α : Type u_1} [inst : Lattice α] (a b : α) (J : Order.Ideal α), b ∈ J ⊔ Order.Ideal.principal a ↔ ∃ j ∈ J, b ≤ j ⊔ aAlias of Lattice.mem_ideal_sup_principal.
- Defined in
- Mathlib.Order.PrimeSeparator
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- Lattice
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- Latticestatement · cited by 916
- Order.Idealstatement · cited by 102
- Order.Ideal.principalstatement · cited by 12
- Lattice.mem_ideal_sup_principalproof · cited by 2
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