Theorems · Theorem · order theory
WithTop.add_top
∀ {α : Type u} [inst : Add α] (x : WithTop α), x + ⊤ = ⊤- Cited by
- 18 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Add
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
- WithTopstatement and proof · cited by 3,754
- WithTop.someproof · cited by 1,128
- WithTop.recTopCoeproof · cited by 107
Cited by18
Results whose statement or proof uses this declaration.
- Associates.factors_mulproof · cited by 4
- WithTop.add_lt_add_leftproof · cited by 4
- IsAddLeftRegular.withTopproof · cited by 3
- WithTop.le_of_add_le_add_leftproof · cited by 3
- WithTop.add_eq_topproof · cited by 2
- HahnSeries.orderTop_mul_of_ne_zeroproof · cited by 2
- WithTop.add_lt_addproof · cited by 2
- Associates.prod_addproof · cited by 2
- WithTop.addLECancellable_iff_ne_topproof · cited by 1
- WithTop.map_addproof · cited by 1
- AddLECancellable.withTopproof · cited by 1
- Associates.FactorSet.sup_add_inf_eq_addproof · cited by 1