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
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- Setstatement and proof · cited by 53,352
- Set.preimagestatement · cited by 4,946
- Set.univstatement · cited by 3,945
- Set.preimage_constproof · cited by 12
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