Mathlib Map

Theorems · Definition · combinatorics

Composition.blocks

{n : ℕ} → Composition n → List ℕ

List of positive integers summing to n

Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
49 results in Mathlib
Foundations
Depth 2 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.length · cited by 92Composition.lengthComposition.blocksFun · cited by 52Composition.blocksFunComposition.sizeUpTo · cited by 26Composition.sizeUpToComposition.blocks_sum · cited by 13Composition.blocks_sumComposition.reverse · cited by 12Composition.reverseList.splitWrtComposition · cited by 12List.splitWrtCompositionComposition.ext · cited by 10Composition.extComposition.length_le · cited by 9Composition.length_leComposition.cast · cited by 6Composition.castComposition.gather · cited by 5Composition.gatherComposition.length_gather · cited by 4Composition.length_gatherComposition.one_le_blocks · cited by 4Composition.one_le_blocksComposition.sigmaCompositionAux · cited by 4Composition.sigmaComposit…List.map_length_splitWrtComposition · cited by 4List.map_length_splitWrtC…Composition.length_sigmaCompositionAux · cited by 3Composition.length_sigmaC…Composition · cited by 138CompositionComposition.blocksCITED BYCITES

Cites1

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

Cited by60

Results whose statement or proof uses this declaration.