ΠP:alu_HC05 → Prop.(Πb,b1,w,w1,w2,w3,w4,b2,b3,b4,b5,b6,b7.P (mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7)) → Πa:alu_HC05.P a ≝
λP:alu_HC05 → Prop.λf:Πb,b1,w,w1,w2,w3,w4,b2,b3,b4,b5,b6,b7.P (mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7).λa:alu_HC05.
match a with [ mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7 ⇒ f b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7 ].
ΠP:alu_HC05 → Prop.(Πb,b1,w,w1,w2,w3,w4,b2,b3,b4,b5,b6,b7.P (mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7)) → Πa:alu_HC05.P a ≝
λP:alu_HC05 → Prop.λf:Πb,b1,w,w1,w2,w3,w4,b2,b3,b4,b5,b6,b7.P (mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7).λa:alu_HC05.
match a with [ mk_alu_HC05 b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7 ⇒ f b b1 w w1 w2 w3 w4 b2 b3 b4 b5 b6 b7 ].