Step
*
of Lemma
face-term-implies_functionality
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ā[Gamma:jā¢]. ā[a,b,c,d:{Gamma ā¢ _:š½}].
(Gamma ā¢ (a
āā c)
ā Gamma ā¢ (b
āā d)
ā (Gamma ā¢ (a
ā b)
āā Gamma ā¢ (c
ā d)))
BY
{ (Auto THEN D 0 THEN Auto) }
Latex:
Latex:
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\mforall{}[Gamma:j\mvdash{}]. \mforall{}[a,b,c,d:\{Gamma \mvdash{} \_:\mBbbF{}\}].
(Gamma \mvdash{} (a \mLeftarrow{}{}\mRightarrow{} c) {}\mRightarrow{} Gamma \mvdash{} (b \mLeftarrow{}{}\mRightarrow{} d) {}\mRightarrow{} (Gamma \mvdash{} (a {}\mRightarrow{} b) \mLeftarrow{}{}\mRightarrow{} Gamma \mvdash{} (c {}\mRightarrow{} d)))
By
Latex:
(Auto THEN D 0 THEN Auto)
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