I'm using angular material and reactive form. I want when errors messages are showing, only one message show and if I solve one error show another.
How it is now:

HTML:
<mat-form-field class="example-full-width">
  <input matInput
         placeholder="Username"
         name="username"
         [formControlName]="'username'">
  <mat-error *ngIf="form.controls['username'].errors && form.controls['username'].touched">
    <div *ngIf="form.controls['username'].errors.required">
      Username is <strong>required</strong>
    </div>
    <div *ngIf="form.controls['username'].errors.minlength">
      Required length: {{form.controls['username'].errors.minlength['requiredLength']}}
      Actual length:{{form.controls['username'].errors.minlength['actualLength']}}
    </div>
    <div *ngIf="form.controls['username'].errors.pattern">
      Only a-zA-Z0-9
    </div>
  </mat-error>
</mat-form-field>
Maybe I should use if else or something else? What do you think?
You can have one <mat-error> check if the control is invalid and then get your appropriate error message i.e.:
<mat-error *ngIf="form.controls['username'].invalid">{{ getErrorMessage() }}</mat-error>
And then in your .ts you would have a function to retrieve the appropriate error message: 
getErrorMessage() {
    return this.form.controls['username'].hasError('required') ? 'You must enter a value' :
        this.form.controls['username'].hasError('pattern') ? 'Not a valid username' :
        this.form.controls['username'].hasError('minlength') ? 'Required length is at least 3 characters' :
           '';
  }
You don't need those divs, the <mat-error> element should suffice if you have appropriate styles applied.
Here is a stackblitz example.
Was having the same problem.
This is what I came up with, simple and elegant.
No simultaneous mat-error's will be shown when there are two or more.
Yet, the whole form will be invalid, disabling the submission.
mat-error + mat-error {
  display: none;
}
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