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Theorems · Theorem · combinatorics

Composition.sizeUpTo_le

∀ {n : ℕ} (c : Composition n) (i : ℕ), c.sizeUpTo i ≤ n
Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
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Around this declaration

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

Composition.sizeUpTo_sizeUpTo_add · cited by 1Composition.sizeUpTo_size…Composition · cited by 138CompositionComposition.blocks · cited by 49Composition.blocksComposition.sizeUpTo · cited by 26Composition.sizeUpToComposition.blocks_sum · cited by 13Composition.blocks_sumList.sum_take_add_sum_drop · cited by 3List.sum_take_add_sum_dropComposition.sizeUpTo_leCITED BYCITES

Cites5

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Cited by1

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