Theorems · Theorem · ring theory
IsGroupLikeElem.unitsInv
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Bialgebra R A] {u : Aˣ},
IsGroupLikeElem R ↑u → IsGroupLikeElem R ↑u⁻¹Alias of the reverse direction of isGroupLikeElem_unitsInv.
- Defined in
- Mathlib.RingTheory.Bialgebra.GroupLike
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Bialgebrastatement and proof · cited by 160
- IsGroupLikeElemstatement · cited by 39
- isGroupLikeElem_unitsInvproof · cited by 2
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