Theorems · Theorem · order theory
inf_sup_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
- 26 results in Mathlib
- Foundations
- Depth 11 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.
- DistribLatticestatement and proof · cited by 150
- inf_commproof · cited by 139
- inf_sup_leftproof · cited by 28
Cited by26
Results whose statement or proof uses this declaration.
- Set.union_inter_distrib_rightproof · cited by 28
- sdiff_supproof · cited by 7
- inf_sdiff_self_rightproof · cited by 6
- sdiff_sdiff_rightproof · cited by 4
- disjoint_sup_leftproof · cited by 4
- PhragmenLindelof.quadrant_Iproof · cited by 4
- sup_inf_inf_sdiffproof · cited by 3
- PhragmenLindelof.right_half_plane_of_tendsto_zero_on_realproof · cited by 2
- IsCompl.sup_infproof · cited by 2
- mabs_div_sup_mul_mabs_div_infproof · cited by 2
- inf_sdiffproof · cited by 2
- Filter.sup_prodproof · cited by 2