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Theorems · Definition · combinatorics

Composition.blocksFun

{n : ℕ} → (c : Composition n) → Fin c.length → ℕ

The blocks of a composition, seen as a function on Fin c.length. When composing analytic functions using compositions, this is the main player.

Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
52 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Composition.embedding · cited by 25Composition.embeddingFormalMultilinearSeries.applyComposition · cited by 24FormalMultilinearSeries.a…Composition.invEmbedding · cited by 5Composition.invEmbeddingComposition.sum_blocksFun · cited by 5Composition.sum_blocksFunComposition.sigmaCompositionAux · cited by 4Composition.sigmaComposit…Composition.length_sigmaCompositionAux · cited by 3Composition.length_sigmaC…Composition.ofFn_blocksFun · cited by 3Composition.ofFn_blocksFunComposition.one_le_blocksFun · cited by 3Composition.one_le_blocks…FormalMultilinearSeries.compChangeOfVariables_blocksFun · cited by 3FormalMultilinearSeries.c…Composition.blocksFinEquiv · cited by 3Composition.blocksFinEquivFormalMultilinearSeries.applyComposition_ones · cited by 3FormalMultilinearSeries.a…Composition.embedding_comp_inv · cited by 2Composition.embedding_com…Composition.mem_range_embedding_iff' · cited by 2Composition.mem_range_emb…Composition.ne_single_iff · cited by 2Composition.ne_single_iffFormalMultilinearSeries.compAlongComposition_norm · cited by 2FormalMultilinearSeries.c…Composition · cited by 138CompositionComposition.length · cited by 92Composition.lengthComposition.blocks · cited by 49Composition.blocksComposition.blocksFunCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by59

Results whose statement or proof uses this declaration.