Question

Use the definitions:

x ∈ S ∩ T iff (x ∈ S) ∧ (x ∈ T)

x ∈ S' iff ¬(x ∈ S)

S ⊆ T iff (∀x)(x ∈ S → X ∈ T)

1. Prove line-by-line:

r → ¬(p → q)

assuming that ¬r ∨ ¬q and ¬(q ∧ r) ∧ p

2. A, B, C & A ⊆ B are sets.

Prove:

BnCgAnC

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Answer #1

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