Elm.Native.Trampoline = {};
Elm.Native.Trampoline.make = function(elm) {
    elm.Native = elm.Native || {};
    elm.Native.Trampoline = elm.Native.Trampoline || {};
    if (elm.Native.Trampoline.values) return elm.Native.Trampoline.values;

    // trampoline : Trampoline a -> a
    trampoline = function(t) {
        var tramp = t;
        while(true) {
            switch(tramp.ctor) {
            case "Done":
                return tramp._0;
            case "Continue":
                tramp = tramp._0({ctor: "_Tuple0"});
                continue;
            }
        }
    }

    return elm.Native.Trampoline.values = { trampoline: trampoline };
};

Elm.Native.Trampoline = {};
Elm.Native.Trampoline.make = function(elm) {
    elm.Native = elm.Native || {};
    elm.Native.Trampoline = elm.Native.Trampoline || {};
    if (elm.Native.Trampoline.values) return elm.Native.Trampoline.values;

    // trampoline : Trampoline a -> a
    var trampoline;
    trampoline = function(t) {
        var tramp = t;
        while(true) {
            switch(tramp.ctor) {
            case "Done":
                return tramp._0;
            case "Continue":
                tramp = tramp._0({ctor: "_Tuple0"});
                continue;
            }
        }
    }

    return elm.Native.Trampoline.values = { trampoline: trampoline };
};

Declare the trampoline variable before using it.
Declare the trampoline variable before using it.

This makes the trampoline "module" work in strict mode which you are now using everywhere.