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Metamath Proof Explorer
Description: Deduction adding a conjunct to antecedent. (Contributed by Glauco
Siliprandi, 11-Dec-2019)
|
|
Ref |
Expression |
|
Hypothesis |
adantlllr.1 |
⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 ) |
|
Assertion |
adantlllr |
⊢ ( ( ( ( ( 𝜑 ∧ 𝜂 ) ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
adantlllr.1 |
⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 ) |
| 2 |
1
|
adantl3r |
⊢ ( ( ( ( ( 𝜑 ∧ 𝜂 ) ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 ) |