Theorems · Theorem · combinatorics
Composition.length_le
∀ {n : ℕ} (c : Composition n), c.length ≤ n- Cited by
- 9 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Compositionstatement and proof · cited by 138
- Composition.lengthstatement and proof · cited by 92
- Composition.blocksproof · cited by 49
- Composition.blocks_sumproof · cited by 13
- Composition.one_le_blocksproof · cited by 4
- List.length_le_sum_of_one_leproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.applyComposition_onesstatement and proof · cited by 3
- FormalMultilinearSeries.comp_coeff_oneproof · cited by 2
- FormalMultilinearSeries.leftInv_compproof · cited by 2
- FormalMultilinearSeries.comp_summable_nnrealproof · cited by 2
- Composition.eq_ones_iff_le_lengthproof · cited by 1
- Composition.ones_embeddingstatement · cited by 1
- FormalMultilinearSeries.radius_right_inv_pos_of_radius_pos_aux1proof · cited by 1
- FormalMultilinearSeries.comp_idproof · cited by 1
- Composition.blocks_eq_nilproof · cited by 0