Validate Child component Vue vee-validate

I found solution with this code. In my parent component i add provide and i send the $validator

export default {
    components:{
      ...
    },
    provide() {
      return {
        $validator: this.$validator,
      }
    },

In my child component i received this

inject: ['$validator'],

In my parent component i add this method to invoque validation

 methods:{
      save_progrees(){
        var validationArray = this.$children.map(function(child){
            return child.$validator.validateAll();
        });

        window.Promise.all(validationArray).then((v) => {
          v.some( element => { if ( element == false ) { throw "exists error in child component";} });
          this.error_in_form_save_progress = false;
          alert("datos guardados");
          return
        }).catch(() => {
          this.show_message_error_validation();
        });

      },
      show_message_error_validation(){
        this.error_in_form_save_progress = true;

      }
    }

Finally to show error in component info-error I use this code

<template>
  <div class="row" v-if="errors.items">
    <div class="col-md-12">
      <template v-for="(e,key) in errors.items"  >
        <div  class="text-danger"  v-if="e.field ==name_field" :key="key"> {{e.msg}}  </div> 
      </template>
    </div>
  </div>
</template>