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Theorems · Theorem · group theory

Set.preimage_one

∀ {α : Type u_5} {β : Type u_6} [inst : One β] (s : Set β) [inst_1 : Decidable (1 ∈ s)],
  1 ⁻¹' s = if 1 ∈ s then Set.univ else ∅
Defined in
Mathlib.Algebra.Group.Pi.Lemmas
Cited by
0 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OneDecidable

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