For whom might be interested, I managed to preserve theorem like 
environments from markdown to docx using the statement 
<https://github.com/dialoa/statement> filter. Just employ the syntax

Definition.

: This is a brover.

More instructions in the page of the filter.

On Wednesday, 9 August 2023 at 00:06:35 UTC+10 Paul Kelleher wrote:

> Any docx environment is limited by what can be done with the reference doc 
> styles. I believe the 'Definition' environment in the stock docx reference 
> doc is just a bold title and then maybe an indented definition. I'm not 
> sure. I myself am not well versed on what can be done with docx styles, but 
> that's what you'll have to play around with.
>
> On Monday, August 7, 2023 at 5:27:19 AM UTC-5 Enrico Mattia Salonia wrote:
>
>> Thank you for your help! I tried removing the pandoc-latex-environment 
>> arguments in the YAML but still it does not get the environment, it just 
>> reproduces the text inside it. Are you suggesting that I can format a 
>> reference docx such that the syntax
>>
>> ::: {.definition}
>>
>> My definition.
>>
>> :::
>>
>> is processed by pandoc as a "Definition" environment?
>>
>>
>> On Saturday, 5 August 2023 at 00:36:10 UTC+10 Paul Kelleher wrote:
>>
>>> Oops, except: I'm not sure how best to handle the desired {.definition} 
>>> environment when converting to docx. I suspect you'll have to set up a 
>>> style in a reference docx file. Look for "--reference-doc=" here 
>>> <https://pandoc.org/MANUAL.html#options-affecting-specific-writers> for 
>>> more about that. 
>>>
>>> On Friday, August 4, 2023 at 9:33:19 AM UTC-5 Paul Kelleher wrote:
>>>
>>>> Omit the "pandoc-latex-environment" arguments in the YAML and I think 
>>>> the conversion to docx should work just fine. For cross-referencing 
>>>> equations I highly recommend the pandoc-crossref filter. 
>>>>
>>>> On Friday, August 4, 2023 at 9:20:31 AM UTC-5 Christophe Demko wrote:
>>>>
>>>>> Hi, I'm the creator of the pandoc-latex-environment. This filter is 
>>>>> for pdf output using LaTeX (or beamer). For docx, you have to use another 
>>>>> way.
>>>>>
>>>>> Le vendredi 4 août 2023 à 13:34:46 UTC+2, Enrico Mattia Salonia a 
>>>>> écrit :
>>>>>
>>>>>> When converting markdown to docx latex environments disappear and 
>>>>>> only the text inside them is retained. Conversion from markdown to pdf 
>>>>>> works fine.
>>>>>>
>>>>>> I am using --filter pandoc-latex-environment. The following is an 
>>>>>> extract of the .md
>>>>>>
>>>>>> ---
>>>>>> title: Hi
>>>>>> author: Brover
>>>>>> pandoc-latex-environment:
>>>>>>   df: [definition]
>>>>>>   prop: [proposition]
>>>>>>   proof: [proof]
>>>>>> ---
>>>>>>
>>>>>> ::: {.definition}
>>>>>>
>>>>>> A profile of actions $a \in A$ constitute a **Nash Equilibrium** if
>>>>>>
>>>>>> $$u_i \left( r_i \left(a_i, a_{-i} \right) \right) \geq u_i \left( 
>>>>>> r_i \left(a^{\prime}_i, a_{-i} \right) \right)$$
>>>>>>
>>>>>> for all agents $i \in N$ and actions $a_i, a_i^{\prime} \in A_i$.
>>>>>>
>>>>>> :::
>>>>>>
>>>>>> Should I use a different syntax or the filter is not enough?
>>>>>>
>>>>>

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