Theorems · Inductive type · combinatorics
Composition
ℕ → Type
A composition of n is a list of positive integers summing to n.
- Cited by
- 138 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by177
Results whose statement or proof uses this declaration.
- Composition.lengthstatement and proof · cited by 92
- Composition.blocksFunstatement and proof · cited by 52
- Composition.blocksstatement and proof · cited by 49
- Composition.sizeUpTostatement and proof · cited by 26
- FormalMultilinearSeries.compproof · cited by 25
- Composition.embeddingstatement and proof · cited by 25
- FormalMultilinearSeries.applyCompositionstatement and proof · cited by 24
- FormalMultilinearSeries.compAlongCompositionstatement and proof · cited by 18
- Composition.onesstatement · cited by 17
- Composition.singlestatement · cited by 14
- Composition.blocks_sumstatement and proof · cited by 13
- List.splitWrtCompositionstatement and proof · cited by 12