Theorems · Theorem · order theory
IsWellFounded.apply
∀ {α : Type u} (r : α → α → Prop) [IsWellFounded α r] (a : α), Acc r aAll values are accessible under the well-founded relation.
- Defined in
- Mathlib.Order.RelClasses
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsWellFounded
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.
- IsWellFounded.wfproof · cited by 43
- IsWellFoundedstatement and proof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- IsWellFounded.rankproof · cited by 9
- IsWellFounded.rank_lt_of_relproof · cited by 4
- IsWellFounded.rank_eqproof · cited by 2
- IsWellFounded.mem_range_rank_of_leproof · cited by 1
- WellFoundedGT.applyproof · cited by 0
- WellFoundedLT.applyproof · cited by 0