Theorems · Theorem · order theory
RelSeries.toList_cons
∀ {α : Type u_1} {r : SetRel α α} (p : RelSeries r) (x : α) (hx : (x, p.head) ∈ r), (p.cons x hx).toList = x :: p.toList- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetRelstatement and proof · cited by 581
- RelSeriesstatement and proof · cited by 129
- RelSeries.headstatement and proof · cited by 89
- RelSeries.toListstatement and proof · cited by 25
- RelSeries.singletonproof · cited by 25
- RelSeries.consstatement · cited by 18
- RelSeries.toList_singletonproof · cited by 4
- RelSeries.toList_appendproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Ideal.exists_ltSeries_of_hasGoingDownproof · cited by 1
- Ideal.exists_ltSeries_of_hasGoingUpproof · cited by 0
- RelSeries.tail_consproof · cited by 0
- RelSeries.fromListIsChain_consproof · cited by 0
- RelSeries.cons_self_tailproof · cited by 0