Theorems · Theorem · combinatorics
CompositionAsSet.card_boundaries_pos
∀ {n : ℕ} (c : CompositionAsSet n), 0 < c.boundaries.card- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.cardstatement · cited by 2,327
- Finset.card_posproof · cited by 53
- CompositionAsSetstatement and proof · cited by 26
- CompositionAsSet.boundariesstatement · cited by 18
- CompositionAsSet.boundaries_nonemptyproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CompositionAsSet.card_boundaries_eq_succ_lengthproof · cited by 4
- CompositionAsSet.boundary_lengthproof · cited by 1
- CompositionAsSet.boundary_zerostatement and proof · cited by 1