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Mirrors > Home > MPE Home > Th. List > ancli | Structured version Visualization version GIF version |
Description: Deduction conjoining antecedent to left of consequent. (Contributed by NM, 12-Aug-1993.) |
Ref | Expression |
---|---|
ancli.1 | ⊢ (𝜑 → 𝜓) |
Ref | Expression |
---|---|
ancli | ⊢ (𝜑 → (𝜑 ∧ 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | . 2 ⊢ (𝜑 → 𝜑) | |
2 | ancli.1 | . 2 ⊢ (𝜑 → 𝜓) | |
3 | 1, 2 | jca 515 | 1 ⊢ (𝜑 → (𝜑 ∧ 𝜓)) |
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