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Theorems · Theorem · group theory

Finset.isUnit_iff_singleton

∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Group α] {s : Finset α}, IsUnit s ↔ ∃ a, s = {a}
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
0 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqGroup
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Around this declaration

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

Finset · cited by 13712FinsetGroup · cited by 6238GroupIsUnit · cited by 1602IsUnitFinset.monoid · cited by 20Finset.monoidFinset.isUnit_iff_singletonCITED BYCITES

Cites4

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

  • Finsetstatement and proof · cited by 13,712
  • Groupstatement and proof · cited by 6,238
  • IsUnitstatement · cited by 1,602
  • Finset.monoidstatement · cited by 20

Cited by0

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