Theorems · Theorem · group theory
add_left_surjective
∀ {G : Type u_3} [inst : AddGroup G] (a : G), Function.Surjective fun x => a + x- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- add_neg_cancel_leftproof · cited by 76
Cited by6
Results whose statement or proof uses this declaration.
- DenseRange.zsmul_of_ergodic_add_leftproof · cited by 1
- DenseRange.zpow_of_ergodic_mul_leftproof · cited by 1
- EuclideanGeometry.hasFDerivAt_inversionproof · cited by 0
- openSegment_translate_imageproof · cited by 0
- segment_translate_imageproof · cited by 0
- AddMonoidHom.card_fiber_eq_of_mem_rangeproof · cited by 0