Theorems · Theorem · number theory
MulChar.apply_eq_zero_iff
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] [Nontrivial R']
{χ : MulChar R R'} {a : R}, χ a = 0 ↔ ¬IsUnit a- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Nontrivialstatement and proof · cited by 2,416
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement and proof · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- Iff.notproof · cited by 489
- MulCharstatement and proof · cited by 186
- MulChar.apply_ne_zero_iffproof · cited by 2
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