Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.sub_left_strictMono_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α] {b : α}, b ≠ ⊤ → StrictMono fun x => x - b- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Top.topstatement and proof · cited by 9,680
- sub_eq_add_negproof · cited by 1,023
- StrictMonostatement and proof · cited by 706
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- add_left_strictMono_of_ne_topproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- LinearOrderedAddCommGroupWithTop.sub_lt_sub_iff_left_of_ne_topproof · cited by 0
- LinearOrderedAddCommGroupWithTop.sub_le_sub_iff_left_of_ne_topproof · cited by 0