Theorems · Theorem · commutative algebra
CharP.cast_eq_iff_mod_eq
∀ (R : Type u_1) [inst : AddMonoidWithOne R] (p : ℕ) [CharP R p] {a b : ℕ} [IsLeftCancelAdd R], ↑a = ↑b ↔ a % p = b % p- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- LT.lt.leproof · cited by 2,189
- Nat.cast_addproof · cited by 586
- CharPstatement and proof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
- IsLeftCancelAddstatement and proof · cited by 72
- CharP.cast_eq_zero_iffproof · cited by 42
- left_eq_addproof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.