Theorems · Definition · order theory
WithTop.recTopCoe
{α : Type u_1} → {C : WithTop α → Sort u_2} → C ⊤ → ((a : α) → C ↑a) → (n : WithTop α) → C nRecursor for WithTop using the preferred forms ⊤ and ↑a.
- Defined in
- Mathlib.Order.TypeTags
- Cited by
- 107 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 12 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.somestatement and proof · cited by 1,128
Cited by114
Results whose statement or proof uses this declaration.
- HahnSeries.leadingCoeffproof · cited by 49
- ENNReal.recTopCoeproof · cited by 48
- WithTop.untopDproof · cited by 33
- WithTop.add_topproof · cited by 18
- meromorphicOrderAt_congrproof · cited by 15
- HahnSeries.leadingCoeff_zeroproof · cited by 12
- HahnSeries.leadingCoeff_of_ne_zeroproof · cited by 11
- meromorphicOrderAt_smulproof · cited by 10
- WithTop.predproof · cited by 8
- Field.Emb.Cardinal.filtrationproof · cited by 7
- Associates.FactorSet.uniqueproof · cited by 5
- WithTop.add_lt_add_rightproof · cited by 5