Description: Constructor rule for -/\ . (Contributed by Anthony Hart, 2-Sep-2011)
Ref | Expression | ||
---|---|---|---|
Hypotheses | naim12i.1 | ⊢ ( 𝜑 → 𝜓 ) | |
naim12i.2 | ⊢ ( 𝜒 → 𝜃 ) | ||
naim12i.3 | ⊢ ( 𝜓 ⊼ 𝜃 ) | ||
Assertion | naim12i | ⊢ ( 𝜑 ⊼ 𝜒 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | naim12i.1 | ⊢ ( 𝜑 → 𝜓 ) | |
2 | naim12i.2 | ⊢ ( 𝜒 → 𝜃 ) | |
3 | naim12i.3 | ⊢ ( 𝜓 ⊼ 𝜃 ) | |
4 | 1 3 | naim1i | ⊢ ( 𝜑 ⊼ 𝜃 ) |
5 | 2 4 | naim2i | ⊢ ( 𝜑 ⊼ 𝜒 ) |