Theorems · Theorem · group theory
MulAction.smul_inv_mem_fixedBy_iff_mem_fixedBy
∀ {α : Type u_1} {G : Type u_2} [inst : Group G] [inst_1 : MulAction G α] {a : α} {g : G},
g⁻¹ • a ∈ MulAction.fixedBy α g ↔ a ∈ MulAction.fixedBy α g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- MulAction.fixedBystatement and proof · cited by 36
- MulAction.fixedBy_invproof · cited by 4
- MulAction.smul_mem_fixedBy_iff_mem_fixedByproof · cited by 2
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