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Mirrors > Home > MPE Home > Th. List > impcom | Structured version Visualization version GIF version |
Description: Importation inference with commuted antecedents. (Contributed by NM, 25-May-2005.) |
Ref | Expression |
---|---|
imp.1 | ⊢ (𝜑 → (𝜓 → 𝜒)) |
Ref | Expression |
---|---|
impcom | ⊢ ((𝜓 ∧ 𝜑) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imp.1 | . . 3 ⊢ (𝜑 → (𝜓 → 𝜒)) | |
2 | 1 | com12 32 | . 2 ⊢ (𝜓 → (𝜑 → 𝜒)) |
3 | 2 | imp 444 | 1 ⊢ ((𝜓 ∧ 𝜑) → 𝜒) |
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