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Theorems · Theorem · combinatorics

Composition.disjoint_range

∀ {n : ℕ} (c : Composition n) {i₁ i₂ : Fin c.length},
  i₁ ≠ i₂ → Disjoint (Set.range ⇑(c.embedding i₁)) (Set.range ⇑(c.embedding i₂))

The embeddings of different blocks of a composition are disjoint.

Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

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