Theorems · Theorem · number theory
Nat.ModEq.symm
∀ {n a b : ℕ}, a ≡ b [MOD n] → b ≡ a [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 29 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 by29
Results whose statement or proof uses this declaration.
- Nat.ModEq.commproof · cited by 11
- Sylow.card_quotient_normalizer_modEq_card_quotientproof · cited by 2
- Nat.add_mod_add_iteproof · cited by 2
- Nat.ofDigits_modEqproof · cited by 2
- Nat.ModEq.le_of_lt_addproof · cited by 1
- Pell.matiyasevicproof · cited by 1
- Pell.modEq_of_xn_modEqproof · cited by 1
- Nat.chineseRemainder_modEq_uniqueproof · cited by 1
- Nat.ModEq.dvd_iffproof · cited by 1
- Nat.modEq_subproof · cited by 1
- Nat.exists_prime_gt_modEq_oneproof · cited by 1
- Pell.xn_modEq_x4n_addproof · cited by 1