Theorems · Theorem · number theory
Nat.ModEq.add_left
∀ {n a b : ℕ} (c : ℕ), a ≡ b [MOD n] → c + a ≡ c + b [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ModEqstatement and proof · cited by 225
- Nat.ModEq.rflproof · cited by 8
- Nat.ModEq.addproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- pow_eq_pow_iff_modEqproof · cited by 5
- nsmul_eq_nsmul_iff_modEqproof · cited by 4
- RightCancelMonoid.pow_eq_pow_iff_modEqproof · cited by 3
- AddRightCancelMonoid.nsmul_eq_nsmul_iff_modEqproof · cited by 3
- IsOfFinAddOrder.nsmul_eq_nsmul_iff_modEqproof · cited by 1
- IsOfFinOrder.pow_eq_pow_iff_modEqproof · cited by 1