Theorems · Theorem · group theory
MulAction.fixedBy_mul_eq_empty_iff
∀ {M : Type u_3} [inst : Monoid M] [IsRightCancelMul M] {m : M}, MulAction.fixedBy M m = ∅ ↔ m ≠ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidIsRightCancelMul
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Cites5
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
- IsRightCancelMulstatement and proof · cited by 43
- MulAction.fixedBystatement · cited by 36
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