Theorems · Theorem · combinatorics
Composition.blocks_sum
∀ {n : ℕ} (self : Composition n), self.blocks.sum = nProof that blocks sums to n
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.blocksstatement · cited by 49
Cited by13
Results whose statement or proof uses this declaration.
- Composition.length_leproof · cited by 9
- Composition.sum_blocksFunproof · cited by 5
- List.map_length_splitWrtCompositionproof · cited by 4
- Composition.eq_single_iff_lengthproof · cited by 2
- Composition.index_existsproof · cited by 2
- Composition.sigma_eq_iff_blocks_eqproof · cited by 1
- Composition.eq_ones_iffproof · cited by 1
- Composition.sizeUpTo_leproof · cited by 1
- Composition.blocks_leproof · cited by 1
- Composition.sizeUpTo_ofLength_leproof · cited by 1
- List.flatten_splitWrtCompositionproof · cited by 1
- Composition.sigma_pi_composition_eq_iffproof · cited by 0