docs: align with the current form/code-style and counter example

[danielpeintner]

fixes #801

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 77.04%. Comparing base (b948e53) to head (79472b7).
Report is 4 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1386      +/-   ##
==========================================
- Coverage   77.06%   77.04%   -0.02%     
==========================================
  Files          79       79              
  Lines       15290    15290              
  Branches     1442     1440       -2     
==========================================
- Hits        11783    11780       -3     
- Misses       3483     3487       +4     
+ Partials       24       23       -1     

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