Theorems · Definition · combinatorics
Composition.boundaries
{n : ℕ} → Composition n → Finset (Fin (n + 1))The boundaries of a composition, i.e., the leftmost point of all the blocks. We include
a virtual point at the right of the last block, to make for a nice equiv with
CompositionAsSet n.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, 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.
- Finsetstatement · cited by 13,712
- Finset.univproof · cited by 3,473
- Finset.mapproof · cited by 747
- Compositionstatement and proof · cited by 138
- RelEmbedding.toEmbeddingproof · cited by 45
- Composition.boundaryproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Composition.toCompositionAsSetproof · cited by 3
- Composition.card_boundaries_eq_succ_lengthstatement · cited by 3
- Composition.orderEmbOfFin_boundariesstatement · cited by 1
- Composition.toCompositionAsSet_boundariesstatement · cited by 0
- CompositionAsSet.toComposition_boundariesstatement · cited by 0
- Composition.toCompositionAsSet_blocksproof · cited by 0