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Mirrors > Home > MPE Home > Th. List > exp31 | Structured version Visualization version GIF version |
Description: An exportation inference. (Contributed by NM, 26-Apr-1994.) |
Ref | Expression |
---|---|
exp31.1 | ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒) → 𝜃) |
Ref | Expression |
---|---|
exp31 | ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exp31.1 | . . 3 ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒) → 𝜃) | |
2 | 1 | ex 416 | . 2 ⊢ ((𝜑 ∧ 𝜓) → (𝜒 → 𝜃)) |
3 | 2 | ex 416 | 1 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃))) |
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