Theorems · Theorem · order theory
sup_inf_right
∀ {α : Type u} [inst : DistribLattice α] (a b c : α), a ⊓ b ⊔ c = (a ⊔ c) ⊓ (b ⊔ c)- Defined in
- Mathlib.Order.Lattice
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- DistribLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sup_commproof · cited by 165
- DistribLatticestatement and proof · cited by 150
- sup_inf_leftproof · cited by 22
Cited by22
Results whose statement or proof uses this declaration.
- inf_sup_leftproof · cited by 28
- le_of_inf_le_sup_leproof · cited by 4
- Set.inter_union_distrib_rightproof · cited by 4
- sdiff_sdiff_rightproof · cited by 4
- Disjoint.le_of_codisjointproof · cited by 3
- sup_inf_inf_sdiffproof · cited by 3
- mabs_div_sup_mul_mabs_div_infproof · cited by 2
- inf_sdiffproof · cited by 2
- abs_sub_sup_add_abs_sub_infproof · cited by 2
- Coheyting.boundary_le_boundary_sup_sup_boundary_inf_leftproof · cited by 2
- tendsto_inf_principal_nhds_iff_of_forall_eqproof · cited by 1
- codisjoint_inf_leftproof · cited by 1