lean2/tests/lean/let2.lean

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-- Annotating lemmas
Theorem simple (p q r : Bool) : (p ⇒ q) ∧ (q ⇒ r) ⇒ p ⇒ r :=
Discharge (λ H_pq_qr, Discharge (λ H_p,
let P_pq : (p ⇒ q) := Conjunct1 H_pq_qr,
P_qr : (q ⇒ r) := Conjunct2 H_pq_qr,
P_q : q := MP P_pq H_p
in MP P_qr P_q))
print Environment 1