MPLS solve BGP routing black hole

As shown in FIG Topology:
Rl in the AS100, R2, R3, R4, R6 in the AS200, R5 in the AS300. R2 is G0 / 0/1 port and R3 are G0 / 0/0 and G0 / 0/1 port, G0 / 0/0 port control protocol mpls ldp R4. Loopback loopback R1 and R5 1.0.0.1/32 5.0.0.5/32 the declaration into BGP.

R2 is traffic crawling G0 / 0/1 of

Look at the label forwarding list
[R2] display mpls lsp

             LSP Information: LDP LSP

---

FEC In/Out Label In/Out IF Vrf Name
3.0.0.3/32 NULL/3 -/GE0/0/1
3.0.0.3/32 1024/3 -/GE0/0/1
4.0.0.4/32 NULL/1024 -/GE0/0/1
4.0.0.4/32 1025/1024 -/GE0/0/1
2.0.0.2/32 3/NULL -/-

[R3]display mpls lsp

             LSP Information: LDP LSP

---

FEC In/Out Label In/Out IF Vrf Name
4.0.0.4/32 NULL/3 -/GE0/0/1
4.0.0.4/32 1024/3 -/GE0/0/1
3.0.0.3/32 3/NULL -/-
2.0.0.2/32 NULL/3 -/GE0/0/0
2.0.0.2/32 1025/3 -/GE0/0/0
[R3]
[R4]display mpls lsp

             LSP Information: LDP LSP

---

FEC In/Out Label In/Out IF Vrf Name
4.0.0.4/32 3/NULL -/-
3.0.0.3/32 NULL/3 -/GE0/0/1
3.0.0.3/32 1024/3 -/GE0/0/1
2.0.0.2/32 NULL/1025 -/GE0/0/1
2.0.0.2/32 1025/1025 -/GE0/0/1