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CSElimWithoutMore
⊢
empty
⊃
g,
⊢
f
;
g
⊃
g
⇒ ⊢
f
∗
⊃
g
CSElimWithoutMore
Proof:
1
⊢
empty
⊃
g
given
2
⊢
f
;
g
⊃
g
given
3
⊢
(
f
∧
more
) ;
g
⊃
f
;
g
AndChopA
4
⊢
(
f
∧
more
) ;
g
⊃
g
2
,
3
,
ImpChain
5
⊢
f
∗
⊃
g
1
,
4
,
CSElim
qed
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2023-09-12
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