Theorems · Theorem · group theory
MulAction.fixedBy_mul_op_eq_empty_iff
∀ {M : Type u_3} [inst : Monoid M] [IsLeftCancelMul M] {m : M}, MulAction.fixedBy M (MulOpposite.op m) = ∅ ↔ m ≠ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidIsLeftCancelMul
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Monoidstatement and proof · cited by 3,887
- MulOppositestatement · cited by 1,135
- MulOpposite.opstatement · cited by 520
- IsLeftCancelMulstatement and proof · cited by 51
- MulAction.fixedBystatement · cited by 36
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