Theorems · Theorem · number theory
ZMod.val_add_val_of_le
∀ {n : ℕ} [NeZero n] {a b : ZMod n}, n ≤ a.val + b.val → a.val + b.val = (a + b).val + n- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZModstatement and proof · cited by 1,024
- ZMod.valstatement and proof · cited by 159
- ZMod.val_ltproof · cited by 20
- ZMod.val_addproof · cited by 5
- Nat.add_mod_add_of_le_add_modproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.val_add_of_leproof · cited by 0