Theorems · Theorem · several complex variables
Composition.length_sigmaCompositionAux
∀ {n : ℕ} (a : Composition n) (b : Composition a.length) (i : Fin b.length),
(a.sigmaCompositionAux b ⟨↑i, ⋯⟩).length = b.blocksFun i- Defined in
- Mathlib.Analysis.Analytic.Composition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.blocksFunstatement and proof · cited by 52
- Composition.blocksproof · cited by 49
- List.splitWrtCompositionproof · cited by 12
- Composition.gatherstatement · cited by 5
- Composition.sigmaCompositionAuxstatement · cited by 4
- List.map_length_splitWrtCompositionproof · cited by 4
- Composition.length_gatherstatement · cited by 4
- List.length_splitWrtCompositionproof · cited by 3
- List.getElem_map_revproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Composition.blocksFun_sigmaCompositionAuxstatement and proof · cited by 1
- FormalMultilinearSeries.comp_assocproof · cited by 1
- Composition.sizeUpTo_sizeUpTo_addproof · cited by 1