Mathlib Map

Theorems · Definition · combinatorics

Composition.length

{n : ℕ} → Composition n → ℕ

The length of a composition, i.e., the number of blocks in the composition.

Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
92 results in Mathlib
Foundations
Depth 10 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.blocksFun · cited by 52Composition.blocksFunComposition.embedding · cited by 25Composition.embeddingFormalMultilinearSeries.applyComposition · cited by 24FormalMultilinearSeries.a…FormalMultilinearSeries.compAlongComposition · cited by 18FormalMultilinearSeries.c…Composition.index · cited by 9Composition.indexComposition.length_le · cited by 9Composition.length_leFormalMultilinearSeries.leftInv · cited by 8FormalMultilinearSeries.l…ContinuousMultilinearMap.compAlongComposition · cited by 6ContinuousMultilinearMap.…Composition.boundary · cited by 5Composition.boundaryComposition.gather · cited by 5Composition.gatherComposition.ones_length · cited by 5Composition.ones_lengthComposition.sum_blocksFun · cited by 5Composition.sum_blocksFunFormalMultilinearSeries.compChangeOfVariables_length · cited by 4FormalMultilinearSeries.c…Composition.length_gather · cited by 4Composition.length_gatherComposition.sigmaCompositionAux · cited by 4Composition.sigmaComposit…Composition · cited by 138CompositionComposition.blocks · cited by 49Composition.blocksComposition.lengthCITED BYCITES

Cites2

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

Cited by105

Results whose statement or proof uses this declaration.