Theorems · Theorem · group theory
AddAction.toPerm_symm_apply
∀ {α : Type u_5} {β : Type u_6} [inst : AddGroup α] [inst_1 : AddAction α β] (a : α) (x : β),
(Equiv.symm (AddAction.toPerm a)) x = -a +ᵥ x- Defined in
- Mathlib.Algebra.Group.Action.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmstatement and proof · cited by 3,681
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.toPermstatement and proof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.mem_stabilizer_setproof · cited by 5
- AddSubgroup.leftTransversals.vadd_diff_vaddproof · cited by 1