Metamath Proof Explorer
Description: Elimination rule similar eel0000 , except with five hpothesis steps.
(Contributed by Alan Sare, 17-Oct-2017)
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Ref |
Expression |
|
Hypotheses |
eel00000.1 |
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eel00000.2 |
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eel00000.3 |
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eel00000.4 |
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eel00000.5 |
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eel00000.6 |
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|
Assertion |
eel00000 |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
eel00000.1 |
|
2 |
|
eel00000.2 |
|
3 |
|
eel00000.3 |
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4 |
|
eel00000.4 |
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5 |
|
eel00000.5 |
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6 |
|
eel00000.6 |
|
7 |
6
|
exp41 |
|
8 |
1 7
|
mpan |
|
9 |
2 3 8
|
mp2 |
|
10 |
4 5 9
|
mp2 |
|