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Et et ou

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Adrien Vannson 2022-05-17 13:59:35 +02:00
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commit 5d65bcdc36
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26
tests/et.8pus Normal file
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( (A /\ B) /\ C -> A /\ (B /\ C) ) /\ ( A /\ (B /\ C) -> (A /\ B) /\ C )
split.
intro et.
elim et.
intro ab.
intro c.
elim ab.
intro a.
intro b.
split.
assumption.
split.
assumption.
assumption.
intro et.
elim et.
intro a.
intro bc.
elim bc.
intro b.
intro c.
split.
split.
assumption.
assumption.
assumption.

32
tests/ou.8pus Normal file
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(A \/ (B \/ C) -> (A \/ B) \/ C) /\ ((A \/ B) \/ C -> A \/ (B \/ C))
split.
intro ou.
elim ou.
intro a.
left.
left.
assumption.
intro bc.
elim bc.
intro b.
left.
right.
assumption.
intro c.
right.
assumption.
intro ou.
elim ou.
intro ab.
elim ab.
intro a.
left.
assumption.
intro b.
right.
left.
assumption.
intro c.
right.
right.
assumption.