Theorems · Definition · order theory
WithBot.unbotD
{α : Type u_1} → α → WithBot α → αSpecialization of Option.getD to values in WithBot α that respects API boundaries.
- Defined in
- Mathlib.Order.WithBot
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithBotstatement and proof · cited by 1,498
- WithBot.recBotCoeproof · cited by 101
Cited by54
Results whose statement or proof uses this declaration.
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.degree_eq_natDegreeproof · cited by 69
- Polynomial.natDegree_Cproof · cited by 59
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.natDegree_negproof · cited by 26
- Polynomial.natDegree_eq_of_degree_eqproof · cited by 19
- SimpleGraph.maxDegreeproof · cited by 19
- Polynomial.natDegree_cyclotomicproof · cited by 12
- Polynomial.natDegree_C_mulproof · cited by 10
- WithBot.unbotAproof · cited by 10
- Polynomial.degree_sub_lt_leftproof · cited by 9
- Polynomial.natDegree_eq_natDegreeproof · cited by 8