Theorems · Theorem · group theory
zpow_ne_zero
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a : G₀} (n : ℤ), a ≠ 0 → a ^ n ≠ 0- Cited by
- 30 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GroupWithZerostatement and proof · cited by 691
- zpow_natCastproof · cited by 271
- pow_ne_zeroproof · cited by 208
- inv_ne_zeroproof · cited by 99
- zpow_negSuccproof · cited by 92
Cited by30
Results whose statement or proof uses this declaration.
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- AnalyticAt.zpowproof · cited by 8
- logDeriv_fun_zpowproof · cited by 4
- Seminorm.rescale_to_shell_zpowproof · cited by 2
- AnalyticWithinAt.zpowproof · cited by 2
- MeromorphicNFAt.zpowproof · cited by 2
- FractionalIdeal.count_neg_zpowproof · cited by 2
- SlashInvariantForm.slash_action_eqn'proof · cited by 2
- Even.zpow_posproof · cited by 2
- AnalyticAt.unique_eventuallyEq_zpow_smul_nonzeroproof · cited by 2
- RatFunc.uniformizingPolynomial_isUniformizerproof · cited by 1
- eq_zero_of_zpow_eq_zeroproof · cited by 1