Theorems · Theorem · number theory
Nat.ModEq.rfl
∀ {n a : ℕ}, a ≡ a [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ModEqstatement · cited by 225
- Nat.ModEq.reflproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- Nat.ModEq.add_left_cancel'proof · cited by 7
- Nat.ModEq.add_leftproof · cited by 6
- Nat.ModEq.add_rightproof · cited by 4
- Nat.ModEq.add_right_cancel'proof · cited by 3
- Nat.ModEq.sub_leftproof · cited by 0
- Nat.ModEq.sub_left'proof · cited by 0
- Nat.ModEq.sub_rightproof · cited by 0
- Nat.ModEq.sub_right'proof · cited by 0