**Description:** Value of the complex power function at one. (Contributed by Mario
Carneiro, 30-May-2016)

Ref | Expression | ||
---|---|---|---|

Hypothesis | cxp0d.1 | $${\u22a2}{\phi}\to {A}\in \u2102$$ | |

Assertion | 1cxpd | $${\u22a2}{\phi}\to {1}^{{A}}=1$$ |

Step | Hyp | Ref | Expression |
---|---|---|---|

1 | cxp0d.1 | $${\u22a2}{\phi}\to {A}\in \u2102$$ | |

2 | 1cxp | $${\u22a2}{A}\in \u2102\to {1}^{{A}}=1$$ | |

3 | 1 2 | syl | $${\u22a2}{\phi}\to {1}^{{A}}=1$$ |