5 Part Lesson — Paul derives an offensive sequence: [I] Starting from Closed Guard, use your knees and a Cross Collar Grip to break your opponent's posture and keep their neck nearby; shift your hip to the outside opposite of your initial grip and slip your other hand underneath your forearm to set the second grip for the Cross Choke (aka X-Choke, Gyakujujijime). Climb your legs up the opponent's back, hang your weight on the neck, flare the radial bones of your wrists, expand your chest, pulling your elbows away from the head and toward your back for the finish. [II] If your opponent places a post against your torso to prevent you from breaking them down inside your Closed Guard, you can use a well-placed cross-grip over their elbow to help break them back down for the X-Choke. If you cannot accomplish this, and the opponent stands up with the "wrong" leg (i.e. contralateral to their posting arm), swivel off of the shelf of their lap into a Collar & Sleeve Control Scissor Sweep. As an aside, your legs should be configured in the same manner as you would need to keep your opponent from reaching your face with strikes from a "Vale Tudo" Guard. [III] If your opponent stands up without addressing your X-Collar Grip, use the control to keep their posture in parallel with the ground, forcing them to step forward and place both feet squarely. Shimmy your shoulder underneath their hips, collect both ankles with your hands, release your Closed Guard, pinch your knees together, and drive your hips up and over for the Double Ankle Sweep (aka Kagatogaeshi, Lumberjack Sweep, et al.). If your opponent remains flat on their back after falling down, use your hands on the ground to help circle around into the Full Mount. If they post a hand back to keep upright, use your foot to hook their wrist and grab their sleeve; yank the sleeve in an arc as you shoot your ankle deep behind their back to come up for the Mount. [IV] If your opponent stands up correctly, and you no longer have the Cross Collar Grip, underhook their lead leg for the Handstand Sweep (aka Muscle Sweep, Waiter Sweep). Keep your guard closed as your curl your biceps around their foot and push off the ground like holding up a tray. You can still find the sweep despite the opponent maintaining balance with a Back-Step; drive your hips into the inner thigh and pick the foot up off the mat to help drop them into a dead angle. [V] Before the sweep, you can pass their sleeve into the hand of your Underhook on their ankle and prevent them from posting behind against the Mount. Switch the grip back to your other hand to build your own post and push over into the Mount. However, if your opponent tries to keep you from mounting by pushing you back with an extended arm, take the "Reverse/Inverted" Armlock. Slide your shin over the top of their shoulder and allow your knee to miss the mat as you spin and land on your hip, flipping the opponent over for an Armbar. You may need to criss-cross your legs over the face to help keep them down long enough to draw out full traction of the arm and hyperextend the elbow for the tap.