after vs with

after

prep
  • As a result of. 

  • In pursuit of, seeking. 

  • In allusion to, in imitation of; following or referencing. 

  • In spite of. 

  • Behind. 

  • Next in importance or rank. 

  • Denoting the aim or object; concerning; in relation to. 

  • Subsequently to; following in time; later than. 

  • Used to indicate recent completion of an activity 

adv
  • Behind; later in time; following. 

conj
  • Signifies that the action of the clause it starts takes place before the action of the other clause. 

adj
  • At or towards the stern of a ship. 

with

prep
  • In regard to. 

  • Against. 

  • In the company of; alongside, close to; near to. 

  • Having, owning. 

  • In addition to; as an accessory to. 

  • Using as an instrument; by means of. 

  • Used to add supplemental information, especially to indicate simultaneous happening, or immediate succession or consequence. 

  • Prompted by (a certain emotion). 

  • Keeping up with; understanding; following along. 

  • Affected by (a certain emotion or condition). 

  • In the employment of. 

  • In support of. 

adv
  • Along, together with others, in a group, etc. 

How often have the words after and with occurred in a corpus of books? (source: Google Ngram Viewer )