Theorems · Theorem · group theory
add_right_iterate
∀ {M : Type u_4} [inst : AddMonoid M] (a : M) (n : ℕ), (fun x => x + a)^[n] = fun x => x + n • a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- Nat.iteratestatement · cited by 740
Cited by11
Results whose statement or proof uses this declaration.
- AddConstMapClass.map_add_nsmulproof · cited by 4
- IsAddRightRegular.nsmulproof · cited by 3
- CircleDeg1Lift.le_iterate_of_add_int_le_mapproof · cited by 2
- CircleDeg1Lift.iterate_le_of_map_le_add_intproof · cited by 1
- Equiv.nsmul_addRightproof · cited by 1
- CircleDeg1Lift.iterate_pos_le_iffproof · cited by 1
- CircleDeg1Lift.iterate_pos_lt_iffproof · cited by 1
- add_right_iterate_applyproof · cited by 0
- add_right_iterate_apply_zeroproof · cited by 0
- CircleDeg1Lift.iterate_eq_of_map_eq_add_intproof · cited by 0
- CircleDeg1Lift.iterate_pos_eq_iffproof · cited by 0