diff options
Diffstat (limited to 'test-suite/complexity/ring2.v')
| -rw-r--r-- | test-suite/complexity/ring2.v | 11 |
1 files changed, 6 insertions, 5 deletions
diff --git a/test-suite/complexity/ring2.v b/test-suite/complexity/ring2.v index ab57afdb..52dae265 100644 --- a/test-suite/complexity/ring2.v +++ b/test-suite/complexity/ring2.v @@ -3,7 +3,7 @@ Require Import BinInt Zbool. -Definition Zplus x y := +Definition Zadd x y := match x with | 0%Z => y | Zpos x' => @@ -11,7 +11,7 @@ match x with | 0%Z => x | Zpos y' => Zpos (x' + y') | Zneg y' => - match (x' ?= y')%positive Eq with + match (x' ?= y')%positive with | Eq => 0%Z | Lt => Zneg (y' - x') | Gt => Zpos (x' - y') @@ -21,7 +21,7 @@ match x with match y with | 0%Z => x | Zpos y' => - match (x' ?= y')%positive Eq with + match (x' ?= y')%positive with | Eq => 0%Z | Lt => Zpos (y' - x') | Gt => Zneg (x' - y') @@ -30,9 +30,10 @@ match x with end end. + Require Import Ring. -Lemma Zth : ring_theory Z0 (Zpos xH) Zplus Zmult Zminus Zopp (@eq Z). +Lemma Zth : ring_theory Z0 (Zpos xH) Zadd Z.mul Z.sub Z.opp (@eq Z). Admitted. Ltac Zcst t := @@ -45,7 +46,7 @@ Add Ring Zr : Zth (decidable Zeq_bool_eq, constants [Zcst]). Open Scope Z_scope. -Infix "+" := Zplus : Z_scope. +Infix "+" := Zadd : Z_scope. Goal forall a, a+a+a+a+a+a+a+a+a+a+a+a+a = a*13. Timeout 5 Time intro; ring. |