Question

Logical implications can be used to make a substitution: only in cases where the left hand...

Logical implications can be used to make a substitution:

only in cases where the left hand side of the logical implication is known to be true, such as in a proof.

only in proofs, where the right hand side of the logical implication is known to be true.

wherever the left hand side of the logical implication appears in a Boolean formula.

not ever. Logical implications cannot be used to make substitutions.

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Answer #1

From the question:

Logical implications can be used to make a substitution only in proofs, where the right hand side of the logical implication is known to be true.

Let p=>q

Truth table:

p q p=>q
T T T
T F F
F T T
F F T

Implication rule:

If first value is true and second value false then it is false.

Let every time q true then is always true.

Option 2

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