Theorems · Definition · group theory
Equiv.addRight
{G : Type u_5} → [AddGroup G] → G → Equiv.Perm GRight addition in an AddGroup is a permutation of the underlying type.
- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- Equiv.Permstatement · cited by 1,375
- toAddUnitsproof · cited by 8
- AddUnits.addRightproof · cited by 3
Cited by34
Results whose statement or proof uses this declaration.
- summable_nat_add_iffproof · cited by 24
- Homeomorph.addRightproof · cited by 18
- OrderIso.addRightproof · cited by 16
- MeasurableEquiv.addRightproof · cited by 8
- existsUnique_add_zsmul_mem_Iocproof · cited by 7
- IsometryEquiv.addRightproof · cited by 5
- Equiv.Perm.sameCycle_apply_leftproof · cited by 4
- Equiv.Perm.sameCycle_zpow_leftproof · cited by 4
- PeriodPair.derivWeierstrassP_add_coeproof · cited by 3
- Equiv.addRight_symmstatement · cited by 3
- existsUnique_add_zpow_mem_Iocproof · cited by 2
- Affine.Triangle.prod_eq_prod_one_sub_of_mem_line_point_lineMapproof · cited by 2