The new bill - Animal Welfare (Sentencing and Recognition of Sentience) - would increase the maximum prison sentence for animal cruelty tenfold, from six months to five years, in England and Wales.
The draft bill also sets out that the government "must have regard to the welfare needs of animals as sentient beings in formulating and implementing government policy".
Subject to consultation on the draft bill, the government says it will legislate to deliver both aims.
In fact, the draft bill goes further than Article 13 as it applies to all areas of government policy, rather than specified areas of policy. If passed, the law would apply to the whole of the UK.
Environment Secretary Michael Gove said: "Animals are sentient beings who feel pain and suffering, so we are writing that principle into law and ensuring that we protect their welfare. Our plans will also increase sentences for those who commit the most heinous acts of animal cruelty to five years in jail. We are a nation of animal lovers so we will make Brexit work not just for citizens but for the animals we love and cherish too."
BVA President John Fishwick said: "Vets have been clear in our calls that the duty on the state to have due regard for animal welfare - as captured in Article 13 of the EU Lisbon Treaty - must be enshrined in UK law. This Bill captures the substantive obligation that Article 13 currently puts on the national government to consider animal welfare, as well as explicitly recognising animals as sentient beings."
"Today’s draft Bill lays out in black and white the Government making good on its promises, to ensure the UK remains a global leader in animal welfare post-Brexit."
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