Derive the Conclusions of Each of the Following Arguments Using $\lor$

question 29

Essay

derive the conclusions of each of the following arguments using the rules of inference for M, including conditional or indirect proof.
-1. (∀x)[(Px $\lor$ Qx) ⊃ (Rx • ∼Sx)]
2. (∀x)[Rx ⊃ (Tx ⊃ ∼Sx)] / (∀x)[Px ⊃ (Sx ⊃ ∼Tx)]

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Definitions:

Dangerous

Refers to something that is likely to cause harm or injury.

Informed Consent

The process by which a participant voluntarily confirms their willingness to participate in a particular study, after having been informed of all aspects of the trial that might affect their decision to participate.

Mental Patients

Individuals who are receiving treatment for mental illnesses or psychological disorders.

Refuse

To express a deliberate intention not to accept, submit to, believe, or make use of something.