Question

(1) Give formal proofs of the following sequents, for any theory T and formulas φ, ψ,...

(1) Give formal proofs of the following sequents, for any theory T and formulas φ, ψ, θ. (a) T ∪ {ψ} |− φ → ψ

(b) |− φ ∧ T ↔ φ

(c) |− φ ∧ (ψ ∨ θ) ↔ (φ ∧ ψ) ∨ (φ ∧ θ)

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