Theorems · Theorem · order theory
RelSeries.eraseLast_last_rel_last
∀ {α : Type u_1} {r : SetRel α α} (p : RelSeries r), p.length ≠ 0 → (p.eraseLast.last, p.last) ∈ rIn a non-trivial series p, the last element of p.eraseLast is related to p.last
- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.lengthstatement and proof · cited by 195
- RelSeriesstatement and proof · cited by 129
- RelSeries.laststatement · cited by 114
- RelSeries.toFunproof · cited by 114
- RelSeries.eraseLaststatement and proof · cited by 21
- RelSeries.stepproof · cited by 18
- RelSeries.eraseLast_lengthproof · cited by 9
- RelSeries.eraseLast_toFunproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Order.height_leproof · cited by 7
- Order.height_eq_iSup_lt_heightproof · cited by 3
- Order.height_eq_coe_iff_minimal_le_heightproof · cited by 1
- RelSeries.inductionOn'proof · cited by 0
- RelSeries.snoc_self_eraseLaststatement and proof · cited by 0