complexite.py

Created on June 02, 2022

311 Bytes

# Type your text here
initialisa°:k=0
fact0=1
k!=0!=1 =>fact0=0! propriété vraie au rg 0
hérédité:
supp que la prop soit vr à la fin de la (k-1)ème itéra°
factk-1=(k-1)!
d'après la ligne 12, on a factk=factk-1*k=k!
donc la prop est vrai ap la kèm itéra°
dc factk=k! est un invariant

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complexite.py