Theorems · Theorem · commutative algebra
CharP.cast_eq_zero_iff
∀ (R : Type u_2) {inst : AddMonoidWithOne R} (p : outParam ℕ) [self : CharP R p] (x : ℕ), ↑x = 0 ↔ p ∣ x- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- CharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CharPstatement and proof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
Cited by42
Results whose statement or proof uses this declaration.
- CharP.cast_eq_zeroproof · cited by 357
- CharP.charP_to_charZeroproof · cited by 11
- CharP.eqproof · cited by 9
- ringChar.specproof · cited by 7
- CharP.intCast_eq_zero_iffproof · cited by 7
- CharP.char_ne_oneproof · cited by 6
- charP_of_injective_ringHomproof · cited by 5
- ZMod.cast_addproof · cited by 3
- ZMod.cast_mulproof · cited by 3
- CharP.isUnit_natCast_iffproof · cited by 3
- Char.card_pow_char_powproof · cited by 2
- Polynomial.expand_contractproof · cited by 2