Theorems · Theorem · real analysis
Function.Periodic.sub_nsmul_eq
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c x : α} [inst : AddGroup α],
Function.Periodic f c → ∀ (n : ℕ), f (x - n • c) = f x- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- sub_eq_add_negproof · cited by 1,023
- Function.Periodicstatement and proof · cited by 154
- Function.Periodic.neg_nsmulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.Periodic.sub_nat_mul_eqproof · cited by 6