Theorems · Theorem · order theory
left_eq_sup
∀ {α : Type u} [inst : SemilatticeSup α] {a b : α}, a = a ⊔ b ↔ b ≤ a- Defined in
- Mathlib.Order.Lattice
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- SemilatticeSup
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.
- SemilatticeSupstatement and proof · cited by 785
- sup_eq_leftproof · cited by 71
Cited by5
Results whose statement or proof uses this declaration.
- left_lt_supproof · cited by 7
- Submodule.span_preimage_eqproof · cited by 1
- Submodule.biSup_comap_eq_top_of_surjectiveproof · cited by 1
- Subalgebra.comap_map_eq_selfproof · cited by 0
- Subring.comap_map_eq_selfproof · cited by 0