Theorems · Theorem · order theory
max_add_add_le_max_add_max
∀ {α : Type u_1} [inst : Add α] [inst_1 : LinearOrder α] [AddLeftMono α] [AddRightMono α] {a b c d : α},
max (a + b) (c + d) ≤ max a c + max b d- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddLeftMonostatement and proof · cited by 687
- add_le_addproof · cited by 666
- AddRightMonostatement and proof · cited by 367
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- max_leproof · cited by 71
Cited by1
Results whose statement or proof uses this declaration.
- Real.posLog_mulproof · cited by 3