We show that each real-representable matroid is a minor of a complex-representable excluded minor for real-representability. More generally, for an infinite field ${\mathbb{F}}_1$ and a field extension ${\mathbb{F}}_2$, if ${\mathbb{F}}_1$-representability is not equivalent to ${\mathbb{F}}_2$-representability, then each ${\mathbb{F}}_1$-representable matroid is a minor of a ${\mathbb{F}}_2$-representable excluded minor for ${\mathbb{F}}_1$-representability.

中文翻译：

---

关于以复数表示的被排斥未成年人的真实陈述

我们表明，对于真实可表示性，每个真实可表示的拟阵都是复杂的可排除的未成年人。更一般而言，对于无限域${\mathbb{F}}_{\mathrm{1个}}$ 和一个字段扩展 ${\mathbb{F}}_2$如果 ${\mathbb{F}}_{\mathrm{1个}}$-代表性不等于 ${\mathbb{F}}_2$-代表性，然后每个 ${\mathbb{F}}_{\mathrm{1个}}$-可代表的拟阵是a的未成年人 ${\mathbb{F}}_2$-代表排除未成年人 ${\mathbb{F}}_{\mathrm{1个}}$-代表性。