Theorems · Definition · several complex variables
Composition.gather
{n : ℕ} → (a : Composition n) → Composition a.length → Composition nWhen a is a composition of n and b is a composition of a.length, a.gather b is the
composition of n obtained by gathering all the blocks of a corresponding to a block of b.
For instance, if a = [6, 5, 3, 5, 2] and b = [2, 3], one should gather together
the first two blocks of a and its last three blocks, giving a.gather b = [11, 10].
- Defined in
- Mathlib.Analysis.Analytic.Composition
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- List.splitWrtCompositionproof · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- Composition.sigmaCompositionAuxstatement and proof · cited by 4
- Composition.length_gatherstatement · cited by 4
- Composition.length_sigmaCompositionAuxstatement · cited by 3
- Composition.sigmaEquivSigmaPiproof · cited by 1
- Composition.blocksFun_sigmaCompositionAuxstatement · cited by 1
- Composition.sizeUpTo_sizeUpTo_addstatement and proof · cited by 1
- FormalMultilinearSeries.comp_assocproof · cited by 1