Theorems · Theorem · commutative algebra
CharP.charP_to_charZero
∀ (R : Type u_1) [inst : AddGroupWithOne R] [CharP R 0], CharZero R
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
- Assumes
- AddGroupWithOneCharP
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 · cited by 932
- CharPstatement and proof · cited by 478
- AddGroupWithOnestatement and proof · cited by 111
- CharP.cast_eq_zero_iffproof · cited by 42
- eq_zero_of_zero_dvdproof · cited by 13
- charZero_of_inj_zeroproof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- Polynomial.separable_orproof · cited by 3
- CharP.char_ne_zero_of_finiteproof · cited by 3
- CharP.exists'proof · cited by 2
- split_by_characteristicproof · cited by 2
- IsAlgClosed.ringEquiv_of_equiv_of_char_eqproof · cited by 1
- FirstOrder.Field.charP_iff_model_fieldOfCharproof · cited by 1
- charP_zero_or_prime_powerproof · cited by 1
- CharP.charP_zero_iff_charZeroproof · cited by 1
- CharZero.charZero_iff_forall_prime_ne_zeroproof · cited by 0
- IsFractionRing.charZero_of_isFractionRingproof · cited by 0
- algebraRat.charZeroproof · cited by 0