Description: Given (((a and b) and c) and d), there exists a proof for b. (Contributed by Jarvin Udandy, 3-Sep-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | abcdtb.1 | ⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) | |
| Assertion | abcdtb | ⊢ 𝜓 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | abcdtb.1 | ⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) | |
| 2 | 1 | simpli | ⊢ ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) |
| 3 | 2 | simpli | ⊢ ( 𝜑 ∧ 𝜓 ) |
| 4 | 3 | simpri | ⊢ 𝜓 |