lean2/tests/lean/let2.lean
Leonardo de Moura 2459c4ae7c Add (optional) type to let declarations
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-06 10:06:26 -07:00

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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))
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