Theorems · Theorem · number theory
Nat.modEq_zero_iff
∀ {a b : ℕ}, a ≡ b [MOD 0] ↔ a = b- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ModEqstatement · cited by 225
Cited by8
Results whose statement or proof uses this declaration.
- AddRightCancelMonoid.injective_nsmul_iff_not_isOfFinAddOrderproof · cited by 1
- injective_nsmul_iff_not_isOfFinAddOrderproof · cited by 1
- injective_pow_iff_not_isOfFinOrderproof · cited by 1
- RightCancelMonoid.injective_pow_iff_not_isOfFinOrderproof · cited by 1
- pow_inj_iff_of_orderOf_eq_zeroproof · cited by 0
- RightCancelMonoid.pow_inj_iff_of_orderOf_eq_zeroproof · cited by 0
- AddRightCancelMonoid.nsmul_inj_iff_of_addOrderOf_eq_zeroproof · cited by 0
- nsmul_inj_iff_of_addOrderOf_eq_zeroproof · cited by 0