Theorems · Theorem · order theory
add_right_strictMono_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommMonoidWithTop α] {b : α}, b ≠ ⊤ → StrictMono fun x => b + x- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- StrictMonostatement · cited by 706
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- Monotone.strictMono_of_injectiveproof · cited by 22
- add_right_monoproof · cited by 7
- add_right_injective_of_ne_topproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- add_le_add_iff_right_of_ne_topproof · cited by 0
- add_lt_add_iff_right_of_ne_topproof · cited by 0