Theorems · Theorem · order theory
CompletelyDistribLattice.le_himp_iff
∀ {α : Type u} [self : CompletelyDistribLattice α] (a b c : α), a ≤ b ⇨ c ↔ a ⊓ b ≤ c(a ⇨ ·) is right adjoint to (a ⊓ ·)
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CompletelyDistribLattice
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HImp.himpstatement · cited by 153
- Lattice.infstatement · cited by 18
- Lattice.inf_le_leftstatement · cited by 12
- Lattice.inf_le_rightstatement · cited by 12
- Lattice.le_infstatement · cited by 12
- CompletelyDistribLatticestatement and proof · cited by 9
- CompletelyDistribLattice.toHImpstatement · cited by 2
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