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Theorems · Theorem · combinatorics

CompositionAsSet.zero_mem

∀ {n : ℕ} (self : CompositionAsSet n), 0 ∈ self.boundaries

Proof that 0 is a member of boundaries

Defined in
Mathlib.Combinatorics.Enumerative.Composition
Cited by
2 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CompositionAsSet.boundaries_nonempty · cited by 1CompositionAsSet.boundari…CompositionAsSet.boundary_zero · cited by 1CompositionAsSet.boundary…Finset · cited by 13712FinsetCompositionAsSet · cited by 26CompositionAsSetCompositionAsSet.boundaries · cited by 18CompositionAsSet.boundari…CompositionAsSet.zero_memCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.