Theorems · Theorem · number theory
Nat.ModEq.add
∀ {n a b c d : ℕ}, a ≡ b [MOD n] → c ≡ d [MOD n] → a + c ≡ b + d [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 7 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
- add_sub_add_commproof · cited by 28
- Nat.modEq_iff_dvdproof · cited by 10
- Nat.ModEq.dvdproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- Nat.ModEq.add_leftproof · cited by 6
- Nat.ModEq.add_rightproof · cited by 4
- Pell.xn_modEq_x2n_addproof · cited by 2
- Nat.add_mod_add_iteproof · cited by 2
- Pell.xn_modEq_x2n_sub_lemproof · cited by 1
- Nat.ModEq.add_iff_leftproof · cited by 0
- Nat.ModEq.add_iff_rightproof · cited by 0