lean2/tests/lean/sig2.lean at 5c991f8fbfbdf8a3b451d44be361571db74b6359 - michael/lean2 - Forgejo: Beyond coding. We forge.

michael/lean2

Leonardo de Moura 5c991f8fbf feat(frontends/lean): parse and pretty print tuples/pairs

This commit also fixes a bug in the type checker when processing dependent pairs.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

2014-02-03 20:10:30 -08:00

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 check sig x : Nat, x > 0
 check tuple 10, 20, (Nat # Nat)
 check tuple 10, true, (Nat # Nat)
 check tuple true, 20, (Nat # Nat)
 check tuple true, 20, (Bool # Nat)
 check tuple true, true, (Bool # Bool)
 check tuple true, true, (Bool ⨯ Bool)
 variable a : Nat
 axiom Ha : 1 ≤ a
 definition NZ : Type := sig x : Nat, 1 ≤ x
 check NZ
 check tuple a, Ha, NZ