Theorems · Theorem · number theory
Nat.ModEq.trans
∀ {n a b c : ℕ}, a ≡ b [MOD n] → b ≡ c [MOD n] → a ≡ c [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
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 by21
Results whose statement or proof uses this declaration.
- Nat.ModEq.mulproof · cited by 3
- Pell.matiyasevicproof · cited by 1
- Pell.modEq_of_xn_modEqproof · cited by 1
- Nat.ModEq.listProd_map_oneproof · cited by 1
- Equiv.Perm.exists_fixed_point_of_prime'proof · cited by 1
- Nat.ModEq.dvd_iffproof · cited by 1
- card_sylow_modEq_oneproof · cited by 1
- Pell.xn_modEq_x4n_addproof · cited by 1
- Pell.xn_modEq_x4n_subproof · cited by 1
- not_dvd_card_sylowproof · cited by 1
- Pell.dvd_of_ysq_dvdproof · cited by 1
- Pell.eq_of_xn_modEq'proof · cited by 1