Theorems · Definition · combinatorics
Composition.blocksFinEquiv
{n : ℕ} → (c : Composition n) → (i : Fin c.length) × Fin (c.blocksFun i) ≃ Fin nEquivalence between the disjoint union of the blocks (each of them seen as
Fin (c.blocksFun i)) with Fin n.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 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.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- Compositionstatement and proof · cited by 138
- Composition.lengthstatement and proof · cited by 92
- Composition.blocksFunstatement and proof · cited by 52
- Composition.embeddingproof · cited by 25
- Composition.indexproof · cited by 9
- Composition.invEmbeddingproof · cited by 5
- Composition.embedding_comp_invproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.compAlongComposition_boundproof · cited by 1
- Composition.sum_sum_apply_embeddingproof · cited by 0
- Composition.prod_prod_apply_embeddingproof · cited by 0