Metamath Proof Explorer
Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011)
(New usage is discouraged.)
|
|
Ref |
Expression |
|
Hypothesis |
bnj721.1 |
⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜏 ) |
|
Assertion |
bnj721 |
⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 ) |
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
bnj721.1 |
⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜏 ) |
2 |
|
bnj658 |
⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) |
3 |
2 1
|
syl |
⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 ) |