Theorems · Theorem · complex analysis
Complex.one_cpow
∀ (x : ℂ), 1 ^ x = 1
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Complexstatement and proof · cited by 5,565
- MulZeroClass.zero_mulproof · cited by 1,625
- Complex.expproof · cited by 612
- Complex.exp_zeroproof · cited by 43
- Complex.log_oneproof · cited by 7
- Complex.cpow_defproof · cited by 3
Cited by14
Results whose statement or proof uses this declaration.
- Real.one_rpowproof · cited by 26
- Complex.one_add_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 3
- Complex.integral_cpow_mul_exp_neg_mul_Ioiproof · cited by 2
- Complex.sqrt_oneproof · cited by 2
- LSeries.term_deltaproof · cited by 1
- Complex.betaIntegral_eval_one_rightproof · cited by 1
- hasMellin_one_Iocproof · cited by 1
- Complex.betaIntegral_recurrenceproof · cited by 1
- ZMod.completedLFunction_modOne_eqproof · cited by 1
- ZMod.LFunction_modOne_eqproof · cited by 1
- DirichletCharacter.rootNumber_modOneproof · cited by 1
- WeakFEPair.f_modif_aux2proof · cited by 1