css checkbox not applying changes when in the :checked state

I am trying to bring some hidden text into view when a radio checkbox is checked. I cant quite work out why the :checked styling is not applying once the label is checked. I think i am being really daft but just cant work out what is going on.

Could anyone lend some advice?

.wrap__wrapper {
  width: 400px;
  margin: 0 auto;
}

.wrap {
  position: relative;
  overflow: hidden;
}

.wrap__radio--input {
  display: none;
}

.wrap__inner {
  width: 300%;
  left: 0;
  transition: all 1s;
}

.wrap__slides {
  float: left;
  width: 33.333%;
}

.wrap__text {
  font-size: 16px;
  text-align: center;
}

.wrap__button {
  font-size: 1.8rem;
  cursor: pointer;
  text-align: center;
  display: block;
}

.wrap__radio--input:checked~.wrap__inner {
  transition: all 1s;
  background: red;
  left: -100%;
}

<div class="wrap__wrapper">
  <div class="wrap">
    <input type="radio" class="wrap__radio--input" id="slide--1">
    <label for="slide--1" class="wrap__button">next slide</label>
    <div class="wrap__inner">
      <div class="wrap__slides">
        <p class="wrap__text">slide1</p>
      </div>
      <div class="wrap__slides">
        <p class="wrap__text">slide2</p>
      </div>
    </div>
  </div>
</div>