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Theorems · Theorem · combinatorics

Finset.cons_empty

∀ {α : Type u_1} (a : α), Finset.cons a ∅ ⋯ = {a}
Defined in
Mathlib.Data.Finset.Insert
Cited by
2 results in Mathlib
Foundations
Depth 57 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.

Nat.multinomial_singleton · cited by 2Nat.multinomial_singletonFinset.Nonempty.exists_cons_eq · cited by 0Nonempty.exists_cons_eqFinset · cited by 13712FinsetFinset.cons · cited by 221Finset.consFinset.notMem_empty · cited by 40Finset.notMem_emptyFinset.cons_emptyCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.