Theorems · Theorem · number theory
Nat.add_modEq_left_iff
∀ {n a b : ℕ}, a + b ≡ a [MOD n] ↔ n ∣ b- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Nat.ModEqstatement · cited by 225
- sub_add_cancel_leftproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- AddRightCancelMonoid.nsmul_eq_nsmul_iff_modEqproof · cited by 3
- Nat.left_modEq_add_iffproof · cited by 1
- Nat.add_modEq_right_iffproof · cited by 1
- nsmul_eq_nsmul_of_modEqproof · cited by 0