Theorems · Theorem · order theory
Order.Coframe.sdiff_le_iff
∀ {α : Type u_1} [self : Order.Coframe α] (a b c : α), a \ b ≤ c ↔ a ≤ b ⊔ c(· \ a) is left adjoint to (· ⊔ a)
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Order.Coframe
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Order.Coframestatement and proof · cited by 38
- Order.Coframe.toSDiffstatement · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- CompleteDistribLattice.ofMinimalAxiomsproof · cited by 0
- CompleteDistribLattice.copyproof · cited by 0
- Function.Injective.completeDistribLatticeproof · cited by 0