I need help

Just check my output

This is all about mthematic as a language. use of logic and proposition in debunking myths of vaccine of covid 19. please check if I applied the concept right. I created a statement and proofs and applied the proof of validity and rules of inferencing such as modus ponens etc. di i use them correctly??

FIRST ITEM

2. The COVID-19 vaccine isn't safe because it was "rushed." This myth came as the second most commonly mistaken statement regarding the COVID-19 vaccine with 35 votes. Some people are skeptical that the vaccines underwent thorough processing because it is widely known that most vaccines from the past took a long time before its development, often lasting 10-15 years (Plotkin et al. 2008). Nevertheless, despite its fast evaluation in under a year, the COVID-19 produced were safe and effective. To prove that COVID-19 vaccine is safe despite its fast development, let us start with six given propositions: R is "It is COVID-19 vaccine." U is "It uses mRNA technology." S is "It is being studied for more than three decades." H is "It is rushed" E is "It successfully finished the five phases of vaccine development." D is "It took under one year to developed"Proof: Given: If it is COVID-19 vaccine, then it uses mRNA technology." R = U It is COVID-19 vaccine. U " It uses mRNA technology. (Modus Ponens) : R (Modus Ponens) 14 Pollack et al. (2020) insists that mRNA vaccines - such as the two-dose Pfizer/BioNTech and Moderna vaccines are used. Given: If it uses mRNA technology, then it is being studied for more U = S than three decades.(5] It uses mRNA technology. U " It is being studied for more than three decades. (Modus Ponens) : S (Modus Ponens) "Zhang et al. (2019) said that in the last three decades, there has been growing interest in mRNA-based technology. Given: If it is being studied for more than three decades, then it is not rushed R = -H It is being studied for more than three decades R " It is not rushed. (Modus Ponens) 4 -H (Modus Ponens)Given: If it is rushed, then it does not successfully finished the five H= -E phases of vaccine development?. It successfully finished the five phases of vaccine development" E <. it is not rushed. tollens levine an expert from johnson argues that to test the efficacy of a vaccine must undergo five phases development. she assured before giving people covid-19 underwent vigorously through these and was already proven effective. given: h took under one year developed. d : rushed had burgos et al. confirmed has been developed for only cater abrupt rising cases worldwide conclusion: vaccines we have were produced in short span time yet new technology called messenger rna or mrna actually working on this strategy more than three decades currently applied whenever pandemic arises.3. if i c don need vaccine. very natural question ask whether previously infected by virus still get vaccination when their tum comes. respondents my survey showed they do lmow accurate not. myth based reliable scientic journals articles entirely wrong. prove you ajab squid-19 despite recovering said vims let us start with six given propositions: sis bond-19. build immunity against virus. lie amount will protect me unknown. e protection l may wear oil highly possible pro-oi: then s oftime unknown olf_ oit reinfection possiblel . re-infection vaccinem lfl squid syllogism>