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Mirrors > Home > MPE Home > Th. List > anim1i | Structured version Visualization version GIF version |
Description: Introduce conjunct to both sides of an implication. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
anim1i.1 | ⊢ (𝜑 → 𝜓) |
Ref | Expression |
---|---|
anim1i | ⊢ ((𝜑 ∧ 𝜒) → (𝜓 ∧ 𝜒)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anim1i.1 | . 2 ⊢ (𝜑 → 𝜓) | |
2 | id 22 | . 2 ⊢ (𝜒 → 𝜒) | |
3 | 1, 2 | anim12i 616 | 1 ⊢ ((𝜑 ∧ 𝜒) → (𝜓 ∧ 𝜒)) |
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