Theorems · Theorem · number theory
AddCommGroup.intCast_modEq_intCast
∀ {G : Type u_1} [inst : AddCommGroupWithOne G] [CharZero G] {a b z : ℤ}, ↑a ≡ ↑b [PMOD ↑z] ↔ a ≡ b [PMOD z]- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroupWithOneCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CharZerostatement and proof · cited by 932
- AddCommGroup.ModEqstatement · cited by 107
- AddCommGroupWithOnestatement and proof · cited by 61
- Int.cast_injectiveproof · cited by 30
- Int.castAddHomproof · cited by 17
- AddCommGroup.map_modEq_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddCommGroup.ModEq.intCastproof · cited by 0
- AddCommGroup.ModEq.of_intCastproof · cited by 0
- AddCommGroup.intCast_modEq_intCast'proof · cited by 0