Mathlib Map

Theorems · Theorem · field theory

Complex.one_re

Complex.re 1 = 1
Defined in
Mathlib.Data.Complex.Basic
Cited by
22 results in Mathlib
Foundations
Depth 88 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.

Complex.Gamma_add_one · cited by 12Complex.Gamma_add_oneReal.Gamma_one · cited by 7Real.Gamma_oneintegral_cpow · cited by 5integral_cpowComplex.differentiable_one_div_Gamma · cited by 4Complex.differentiable_on…ArithmeticFunction.vonMangoldt.eqOn_LFunctionResidueClassAux · cited by 2vonMangoldt.eqOn_LFunctio…mellin_hasDerivAt_of_isBigO_rpow · cited by 2mellin_hasDerivAt_of_isBi…hasSum_mellin_pi_mul_sq' · cited by 2hasSum_mellin_pi_mul_sq'hasSum_mellin · cited by 1hasSum_mellinComplex.approx_Gamma_integral_tendsto_Gamma_integral · cited by 1Complex.approx_Gamma_inte…Complex.arg_one_add_mem_Ioo · cited by 1Complex.arg_one_add_mem_I…HurwitzZeta.hasSum_int_hurwitzZetaOdd · cited by 1HurwitzZeta.hasSum_int_hu…HurwitzZeta.hasSum_int_sinZeta · cited by 1HurwitzZeta.hasSum_int_si…Complex.betaIntegral_convergent_left · cited by 1Complex.betaIntegral_conv…Complex.betaIntegral_eval_nat_add_one_right · cited by 1Complex.betaIntegral_eval…Complex.betaIntegral_eval_one_right · cited by 1Complex.betaIntegral_eval…Real · cited by 25697RealComplex · cited by 5565ComplexComplex.re · cited by 882Complex.reComplex.one_reCITED BYCITES

Cites3

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

Cited by22

Results whose statement or proof uses this declaration.