Theorems · Theorem · commutative algebra
IsNilpotent.isUnit_exp
∀ {A : Type u_1} [inst : Ring A] [inst_1 : Module ℚ A] {a : A}, IsNilpotent a → IsUnit (IsNilpotent.exp a)- Defined in
- Mathlib.RingTheory.Nilpotent.Exp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 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.
- Modulestatement and proof · cited by 20,661
- Ringstatement and proof · cited by 7,463
- IsUnitstatement · cited by 1,602
- IsNilpotentstatement and proof · cited by 248
- IsNilpotent.expstatement and proof · cited by 14
- isUnit_iff_existsproof · cited by 12
- IsNilpotent.exp_mul_exp_neg_selfproof · cited by 1
- IsNilpotent.exp_neg_mul_exp_selfproof · cited by 1
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