Theorems · Theorem · order theory
left_eq_inf
∀ {α : Type u} [inst : SemilatticeInf α] {a b : α}, a = a ⊓ b ↔ a ≤ b- Defined in
- Mathlib.Order.Lattice
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- SemilatticeInf
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.
- SemilatticeInfstatement and proof · cited by 634
- inf_eq_leftproof · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- Set.left_eq_interproof · cited by 4
- inf_lt_leftproof · cited by 4
- TopologicalSpace.NoetherianSpace.exists_finite_set_closeds_irreducibleproof · cited by 2
- Order.Ideal.eq_sup_of_le_supproof · cited by 1