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Theorems · Theorem · field theory

Complex.I_pow_three

Complex.I ^ 3 = -Complex.I
Defined in
Mathlib.Data.Complex.Basic
Cited by
2 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CStarAlgebra.exists_sum_four_nonneg · cited by 1CStarAlgebra.exists_sum_f…Complex.isPrimitiveRoot_I · cited by 1Complex.isPrimitiveRoot_IComplex · cited by 5565ComplexComplex.I · cited by 866Complex.Ipow_succ · cited by 374pow_succneg_one_mul · cited by 61neg_one_mulComplex.I_sq · cited by 40Complex.I_sqComplex.I_pow_threeCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.