Theorems · Theorem · order theory
RelSeries.append_assoc
∀ {α : Type u_1} {r : SetRel α α} (p q w : RelSeries r) (hpq : (p.last, q.head) ∈ r) (hqw : (q.last, w.head) ∈ r),
(p.append q hpq).append w ⋯ = p.append (q.append w hqw) ⋯- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetRelstatement and proof · cited by 581
- RelSeries.lengthproof · cited by 195
- RelSeriesstatement and proof · cited by 129
- RelSeries.laststatement and proof · cited by 114
- RelSeries.toFunproof · cited by 114
- RelSeries.headstatement and proof · cited by 89
- Fin.appendproof · cited by 50
- RelSeries.appendstatement and proof · cited by 11
- Fin.append_assocproof · cited by 3
- RelSeries.extproof · cited by 2
- Fin.append_cast_rightproof · cited by 2
- Fin.append_cast_leftproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RelSeries.append_consproof · cited by 0