Mathlib Map

Theorems · Theorem · combinatorics

CompositionAsSet.lt_length

∀ {n : ℕ} (c : CompositionAsSet n) (i : Fin c.length), ↑i + 1 < c.boundaries.card
Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
3 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CompositionAsSet.blocks_partial_sum · cited by 3CompositionAsSet.blocks_p…CompositionAsSet.blocksFun · cited by 2CompositionAsSet.blocksFunCompositionAsSet.lt_length' · cited by 1CompositionAsSet.lt_lengt…CompositionAsSet.blocksFun_pos · cited by 0CompositionAsSet.blocksFu…Finset.card · cited by 2327Finset.cardCompositionAsSet · cited by 26CompositionAsSetCompositionAsSet.boundaries · cited by 18CompositionAsSet.boundari…lt_tsub_iff_right · cited by 16lt_tsub_iff_rightCompositionAsSet.length · cited by 11CompositionAsSet.lengthCompositionAsSet.lt_lengthCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.