Theorems · Theorem · group theory
Subgroup.mem_units_iff_val_mem
∀ {G : Type u_2} [inst : Group G] (H : Subgroup G) (x : Gˣ), x ∈ H.units ↔ ↑x ∈ H- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- Group
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Subgroup.toSubmonoidstatement and proof · cited by 114
- Units.val_inv_eq_inv_valproof · cited by 57
- Submonoid.unitsstatement · cited by 40
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