Theorems · Theorem · group theory
smul_invOf_smul
∀ {α : Type u_5} {β : Type u_6} [inst : Monoid α] [inst_1 : MulAction α β] (c : α) (x : β) [inst_2 : Invertible c],
c • ⅟c • x = x- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- MonoidMulActionInvertible
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement · cited by 268
- smul_inv_smulproof · cited by 53
- unitOfInvertibleproof · cited by 7
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