Theorems · Theorem · order theory
RelSeries.smash_length
∀ {α : Type u_1} {r : SetRel α α} (p q : RelSeries r) (connect : p.last = q.head),
(p.smash q connect).length = p.length + q.length- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 114
- RelSeries.headstatement and proof · cited by 89
- RelSeries.smashstatement and proof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Module.length_eq_add_of_exactproof · cited by 6
- Order.height_eq_index_of_length_eq_height_lastproof · cited by 2
- Ideal.height_eq_height_add_of_liesOver_of_hasGoingDownproof · cited by 1
- LTSeries.exists_relSeries_covByproof · cited by 1
- Order.krullDim_eq_iSup_height_add_coheight_of_nonemptyproof · cited by 0