Theorems · Theorem · number theory
Nat.ModEq.of_dvd
∀ {m n a b : ℕ}, m ∣ n → a ≡ b [MOD n] → a ≡ b [MOD m]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext
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.
- Nat.ModEqstatement and proof · cited by 225
- Dvd.dvd.transproof · cited by 148
- Nat.ModEq.dvdproof · cited by 6
- Nat.modEq_of_dvdproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Nat.ModEq.mul_leftproof · cited by 3
- Pell.matiyasevicproof · cited by 1
- Pell.ysq_dvd_yyproof · cited by 1
- Pell.dvd_of_ysq_dvdproof · cited by 1
- Nat.ModEq.dvd_iffproof · cited by 1