If Congress enacts a law that either establishes a religion or prohibits the free exercise of religion, then that law is unconstitutional. Therefore, if Congress enacts a law that establishes a religion, then that law is unconstitutional. E=Congress enacts a law that establishes a religion. P= Congress enacts a law the prohibits the free exercise of E religion. U= the law is unconstitutional. Premise: ___Conclusion: Indirect truth tablePremise Conclusion (Write Premise Here) (Write Truth Values Here) Conclusion: Premise Proof:

Using the rule of Conditional Proof :- Premise: E3(F36} ~l € H 2.H3(GsI} (FsIls(v~H) I :(E'H)3J B: 1. If B3(Cv~D) ~Cv(B ~ D), then B3(C) is true.

Conclusion: If B3(Cv~D) ~Cv(B ~ D), then H3(GsI} (FsIls(v~H)) is true. 3. If E'H)3J is true, then H3(GsI} (FsIls(v~H)) is true.

Conditional proofs, in their plural form (logic) a demonstration that, if an assumption A is true, then a logical conclusion or assertion B must likewise be true, i.e., B is true provided that A is true. A conditional proof is one that asserts a conditional and demonstrates that the conditional's antecedent inevitably results in the consequent. The conditional proof assumption refers to the presumptive antecedent of a conditional proof (CPA). Therefore, the purpose of a conditional proof is to show that the desired conclusion would logically follow if the CPA were true.

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