Theorems · Theorem · number theory
ZMod.intCast_mod
∀ (a : ℤ) (b : ℕ), ↑(a % ↑b) = ↑a
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 61 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.
- ZModstatement · cited by 1,024
- ZMod.intCast_eq_intCast_iffproof · cited by 11
- Int.mod_modEqproof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- ZMod.χ₄_int_mod_fourproof · cited by 2
- legendreSym.modproof · cited by 2
- LucasLehmer.sZMod_eq_sModproof · cited by 1
- PadicInt.norm_sub_modPart_auxproof · cited by 1
- ZMod.χ₄_int_eq_if_mod_fourproof · cited by 1
- ZMod.χ₈'_int_eq_if_mod_eightproof · cited by 1
- ZMod.χ₈_int_eq_if_mod_eightproof · cited by 1
- ZMod.χ₈_int_mod_eightproof · cited by 0