Theorems · Theorem · order theory
max_add_add_right
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Add α] [AddRightMono α] (a b c : α), max (a + c) (b + c) = max a b + c- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- LinearOrderAddAddRightMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- AddRightMonostatement and proof · cited by 367
- Monotone.map_maxproof · cited by 55
- monotone_idproof · cited by 31
- Monotone.add_constproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- max_sub_sub_rightproof · cited by 2
- Finset.fold_max_addproof · cited by 0