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+// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /autoTriggers:1 /printTooltips "%s" > "%t"
+// RUN: %diff "%s.expect" "%t"
+
+// This file shows how to specify and implement a function to compute the
+// largest element of a list. The function is fully specified by two
+// preconditions, as proved by the MaximumIsUnique lemma below.
+
+method Maximum(values: seq<int>) returns (max: int)
+ requires values != []
+ ensures max in values
+ ensures forall i | 0 <= i < |values| :: values[i] <= max
+{
+ max := values[0];
+ var idx := 0;
+ while (idx < |values|)
+ invariant max in values
+ invariant idx <= |values|
+ invariant forall j | 0 <= j < idx :: values[j] <= max
+ {
+ if (values[idx] > max) {
+ max := values[idx];
+ }
+ idx := idx + 1;
+ }
+}
+
+lemma MaximumIsUnique(values: seq<int>, m1: int, m2: int)
+ requires m1 in values && forall i | 0 <= i < |values| :: values[i] <= m1
+ requires m2 in values && forall i | 0 <= i < |values| :: values[i] <= m2
+ ensures m1 == m2 {
+ // This lemma does not need a body: Dafny is able to prove it correct entirely automatically.
+}