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Mirrors > Home > ILE Home > Th. List > ancoms | GIF version |
Description: Inference commuting conjunction in antecedent. (Contributed by NM, 21-Apr-1994.) |
Ref | Expression |
---|---|
ancoms.1 | ⊢ ((φ ∧ ψ) → χ) |
Ref | Expression |
---|---|
ancoms | ⊢ ((ψ ∧ φ) → χ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancoms.1 | . . 3 ⊢ ((φ ∧ ψ) → χ) | |
2 | 1 | expcom 109 | . 2 ⊢ (ψ → (φ → χ)) |
3 | 2 | imp 115 | 1 ⊢ ((ψ ∧ φ) → χ) |
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