lean2/tests/lean/let2.lean
Leonardo de Moura 4ba097a141 feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00

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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))
print environment 1