Theorems · Definition · number theory
Nat.ModEq
ℕ → ℕ → ℕ → Prop
Modular equality. n.ModEq a b, or a ≡ b [MOD n], means that a % n = b % n.
- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 225 results in Mathlib
- Foundations
- Depth 21 from the axioms, rests on 114 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by231
Results whose statement or proof uses this declaration.
- Nat.ModEq.symmstatement · cited by 29
- Nat.ModEq.transstatement · cited by 21
- Nat.modEq_zero_iff_dvdstatement · cited by 17
- ZMod.natCast_eq_natCast_iffstatement · cited by 13
- Nat.modEq_iff_dvd'statement · cited by 11
- Nat.ModEq.commstatement · cited by 11
- Nat.modEq_iff_dvdstatement · cited by 10
- Dvd.dvd.modEq_zero_natstatement · cited by 9
- Nat.modEq_zero_iffstatement · cited by 8
- Nat.ModEq.rflstatement · cited by 8
- Nat.ModEq.addstatement and proof · cited by 7
- Nat.ModEq.add_left_cancel'statement and proof · cited by 7
Showing the 200 most cited of 231.