Theorems · Theorem · number theory
Nat.add_mod_of_add_mod_lt
∀ {a b c : ℕ}, a % c + b % c < c → (a + b) % c = a % c + b % c- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- not_le_of_gtproof · cited by 97
- Nat.add_mod_add_iteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.le_mod_add_mod_of_dvd_add_of_not_dvdproof · cited by 0