Theorems · Theorem · order theory
add_left_injective_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommMonoidWithTop α] (b : α), b ≠ ⊤ → Function.Injective fun x => x + b- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- IsAddRegular.rightproof · cited by 7
- IsAddRegular.of_ne_topproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- add_left_strictMono_of_ne_topproof · cited by 3
- LinearOrderedAddCommGroupWithTop.sub_left_injective_of_ne_topproof · cited by 1
- add_left_inj_of_ne_topproof · cited by 0