diff --git a/tools/libs/guest/xg_dom_decompress_unsafe_xz.c b/tools/libs/guest/xg_dom_decompress_unsafe_xz.c
index fc4819874111..80eed912dd68 100644
--- a/tools/libs/guest/xg_dom_decompress_unsafe_xz.c
+++ b/tools/libs/guest/xg_dom_decompress_unsafe_xz.c
@@ -11,7 +11,6 @@
 // TODO
 #define XZ_DEC_X86
 
-typedef char bool_t;
 typedef uint8_t u8;
 typedef uint16_t u16;
 typedef uint32_t u32;
diff --git a/xen/common/unxz.c b/xen/common/unxz.c
index 17aead0adfe6..9586a4e5c94f 100644
--- a/xen/common/unxz.c
+++ b/xen/common/unxz.c
@@ -166,7 +166,7 @@ int __init unxz(unsigned char *in, unsigned int in_size,
 	struct xz_buf b;
 	struct xz_dec *s;
 	enum xz_ret ret;
-	bool_t must_free_in = false;
+	bool must_free_in = false;
 
 	xz_crc32_init();
 
diff --git a/xen/common/xz/dec_bcj.c b/xen/common/xz/dec_bcj.c
index bfa498587ab8..bdc59770f8a6 100644
--- a/xen/common/xz/dec_bcj.c
+++ b/xen/common/xz/dec_bcj.c
@@ -35,7 +35,7 @@ struct xz_dec_bcj {
 	enum xz_ret ret;
 
 	/* True if we are operating in single-call mode. */
-	bool_t single_call;
+	bool single_call;
 
 	/*
 	 * Absolute position relative to the beginning of the uncompressed
@@ -87,7 +87,7 @@ static inline int __init bcj_x86_test_msbyte(uint8_t b)
 
 static size_t __init bcj_x86(struct xz_dec_bcj *s, uint8_t *buf, size_t size)
 {
-	static const bool_t mask_to_allowed_status[8]
+	static const bool mask_to_allowed_status[8]
 		= { true, true, true, false, true, false, false, false };
 
 	static const uint8_t mask_to_bit_num[8] = { 0, 1, 2, 2, 3, 3, 3, 3 };
@@ -524,7 +524,7 @@ XZ_EXTERN enum xz_ret __init xz_dec_bcj_run(struct xz_dec_bcj *s,
 	return s->ret;
 }
 
-XZ_EXTERN struct xz_dec_bcj *__init xz_dec_bcj_create(bool_t single_call)
+XZ_EXTERN struct xz_dec_bcj *__init xz_dec_bcj_create(bool single_call)
 {
 	struct xz_dec_bcj *s = malloc(sizeof(*s));
 	if (s != NULL)
diff --git a/xen/common/xz/dec_lzma2.c b/xen/common/xz/dec_lzma2.c
index f80d8309f4c3..71359fab9f60 100644
--- a/xen/common/xz/dec_lzma2.c
+++ b/xen/common/xz/dec_lzma2.c
@@ -241,13 +241,13 @@ struct lzma2_dec {
 	 * True if dictionary reset is needed. This is false before
 	 * the first chunk (LZMA or uncompressed).
 	 */
-	bool_t need_dict_reset;
+	bool need_dict_reset;
 
 	/*
 	 * True if new LZMA properties are needed. This is false
 	 * before the first LZMA chunk.
 	 */
-	bool_t need_props;
+	bool need_props;
 };
 
 struct xz_dec_lzma2 {
@@ -306,7 +306,7 @@ static void __init dict_limit(struct dictionary *dict, size_t out_max)
 }
 
 /* Return true if at least one byte can be written into the dictionary. */
-static inline bool_t __init dict_has_space(const struct dictionary *dict)
+static inline bool __init dict_has_space(const struct dictionary *dict)
 {
 	return dict->pos < dict->limit;
 }
@@ -343,7 +343,7 @@ static inline void __init dict_put(struct dictionary *dict, uint8_t byte)
  * invalid, false is returned. On success, true is returned and *len is
  * updated to indicate how many bytes were left to be repeated.
  */
-static bool_t __init dict_repeat(struct dictionary *dict, uint32_t *len, uint32_t dist)
+static bool __init dict_repeat(struct dictionary *dict, uint32_t *len, uint32_t dist)
 {
 	size_t back;
 	uint32_t left;
@@ -463,7 +463,7 @@ static void __init rc_reset(struct rc_dec *rc)
  * Read the first five initial bytes into rc->code if they haven't been
  * read already. (Yes, the first byte gets completely ignored.)
  */
-static bool_t __init rc_read_init(struct rc_dec *rc, struct xz_buf *b)
+static bool __init rc_read_init(struct rc_dec *rc, struct xz_buf *b)
 {
 	while (rc->init_bytes_left > 0) {
 		if (b->in_pos == b->in_size)
@@ -477,7 +477,7 @@ static bool_t __init rc_read_init(struct rc_dec *rc, struct xz_buf *b)
 }
 
 /* Return true if there may not be enough input for the next decoding loop. */
-static inline bool_t __init rc_limit_exceeded(const struct rc_dec *rc)
+static inline bool __init rc_limit_exceeded(const struct rc_dec *rc)
 {
 	return rc->in_pos > rc->in_limit;
 }
@@ -486,7 +486,7 @@ static inline bool_t __init rc_limit_exceeded(const struct rc_dec *rc)
  * Return true if it is possible (from point of view of range decoder) that
  * we have reached the end of the LZMA chunk.
  */
-static inline bool_t __init rc_is_finished(const struct rc_dec *rc)
+static inline bool __init rc_is_finished(const struct rc_dec *rc)
 {
 	return rc->code == 0;
 }
@@ -736,7 +736,7 @@ static void __init lzma_rep_match(struct xz_dec_lzma2 *s, uint32_t pos_state)
 }
 
 /* LZMA decoder core */
-static bool_t __init lzma_main(struct xz_dec_lzma2 *s)
+static bool __init lzma_main(struct xz_dec_lzma2 *s)
 {
 	uint32_t pos_state;
 
@@ -814,7 +814,7 @@ static void __init lzma_reset(struct xz_dec_lzma2 *s)
  * from the decoded lp and pb values. On success, the LZMA decoder state is
  * reset and true is returned.
  */
-static bool_t __init lzma_props(struct xz_dec_lzma2 *s, uint8_t props)
+static bool __init lzma_props(struct xz_dec_lzma2 *s, uint8_t props)
 {
 	if (props > (4 * 5 + 4) * 9 + 8)
 		return false;
@@ -861,7 +861,7 @@ static bool_t __init lzma_props(struct xz_dec_lzma2 *s, uint8_t props)
  * function. We decode a few bytes from the temporary buffer so that we can
  * continue decoding from the caller-supplied input buffer again.
  */
-static bool_t __init lzma2_lzma(struct xz_dec_lzma2 *s, struct xz_buf *b)
+static bool __init lzma2_lzma(struct xz_dec_lzma2 *s, struct xz_buf *b)
 {
 	size_t in_avail;
 	uint32_t tmp;
diff --git a/xen/common/xz/dec_stream.c b/xen/common/xz/dec_stream.c
index b91d8362c19c..caea4f2596a1 100644
--- a/xen/common/xz/dec_stream.c
+++ b/xen/common/xz/dec_stream.c
@@ -55,7 +55,7 @@ struct xz_dec {
 	 * True if the next call to xz_dec_run() is allowed to return
 	 * XZ_BUF_ERROR.
 	 */
-	bool_t allow_buf_error;
+	bool allow_buf_error;
 
 	/* Information stored in Block Header */
 	struct {
@@ -132,7 +132,7 @@ struct xz_dec {
 
 #ifdef XZ_DEC_BCJ
 	struct xz_dec_bcj *bcj;
-	bool_t bcj_active;
+	bool bcj_active;
 #endif
 };
 
@@ -154,7 +154,7 @@ static const uint8_t check_sizes[16] = {
  * to copy into s->temp.buf. Return true once s->temp.pos has reached
  * s->temp.size.
  */
-static bool_t __init fill_temp(struct xz_dec *s, struct xz_buf *b)
+static bool __init fill_temp(struct xz_dec *s, struct xz_buf *b)
 {
 	size_t copy_size = min_t(size_t,
 			b->in_size - b->in_pos, s->temp.size - s->temp.pos);
@@ -367,7 +367,7 @@ static enum xz_ret __init crc32_validate(struct xz_dec *s, struct xz_buf *b)
  * Skip over the Check field when the Check ID is not supported.
  * Returns true once the whole Check field has been skipped over.
  */
-static bool_t __init check_skip(struct xz_dec *s, struct xz_buf *b)
+static bool __init check_skip(struct xz_dec *s, struct xz_buf *b)
 {
 	while (s->pos < check_sizes[s->check_type]) {
 		if (b->in_pos == b->in_size)
diff --git a/xen/common/xz/lzma2.h b/xen/common/xz/lzma2.h
index e0ef42e880a0..06a7edb4d720 100644
--- a/xen/common/xz/lzma2.h
+++ b/xen/common/xz/lzma2.h
@@ -90,7 +90,7 @@ static inline void __init lzma_state_short_rep(enum lzma_state *state)
 }
 
 /* Test if the previous symbol was a literal. */
-static inline bool_t __init lzma_state_is_literal(enum lzma_state state)
+static inline bool __init lzma_state_is_literal(enum lzma_state state)
 {
 	return state < LIT_STATES;
 }
diff --git a/xen/common/xz/private.h b/xen/common/xz/private.h
index 511343fcc234..e6814250e84f 100644
--- a/xen/common/xz/private.h
+++ b/xen/common/xz/private.h
@@ -237,7 +237,7 @@ XZ_EXTERN void xz_dec_lzma2_end(struct xz_dec_lzma2 *s);
  * Allocate memory for BCJ decoders. xz_dec_bcj_reset() must be used before
  * calling xz_dec_bcj_run().
  */
-XZ_EXTERN struct xz_dec_bcj *xz_dec_bcj_create(bool_t single_call);
+XZ_EXTERN struct xz_dec_bcj *xz_dec_bcj_create(bool single_call);
 
 /*
  * Decode the Filter ID of a BCJ filter. This implementation doesn't
