The VIEW of this "TREE" is defined in
addons/account/views/account_invoice_view.xml
Which has the code like this:
<record id="invoice_tree" model="ir.ui.view">
<field name="name">account.invoice.tree</field>
<field name="model">account.invoice</field>
<field name="arch" type="xml">
<tree decoration-info="state == 'draft'" decoration-muted="state == 'cancel'" string="Invoice">
<field name="partner_id" groups="base.group_user" string="Customer"/>
<field name="date_invoice"/>
<field name="number"/>
<field name="commercial_partner_id" invisible="1"/>
<field name="reference" invisible="1"/>
<field name="name" invisible="1"/>
<field name="journal_id" invisible="1"/>
<field name="company_id" groups="base.group_multi_company" options="{'no_create': True}"/>
<field name="user_id"/>
<field name="date_due"/>
<field name="origin"/>
<field name="amount_total_signed" sum="Total Amount"/>
<field name="residual_signed" sum="Residual Amount"/>
<field name="currency_id" invisible="1"/>
<field name="company_currency_id" invisible="1"/>
<field name="state"/>
<field name="type" invisible="context.get('type',True)"/>
</tree>
</field>
</record>