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Informal description: ""

{λ[x: nat ] .​ λ[y: nat ] .​ λ[z: nat ] .​ λ[n:{(z) .​ (y)} .​ nis ]} .​ <{({(z) .​ (x)} .​ pl ) .​ ({(y) .​ (x)} .​ pl )} .​ nis > .​ {(x) .​ (λ[u: nat ] .​ λ[v:{(n) .​ (z) .​ (y) .​ (u)} .​ prop1 ] .​ {(v) .​ (n) .​ (z) .​ (y) .​ (u)} .​ t4 ) .​ ({(n) .​ (z) .​ (y) .​ (x)} .​ t2 ) .​ (λ[u: nat ] .​ {(n) .​ (z) .​ (y) .​ (u)} .​ prop1 )} .​ induction

Validation parameters: sort hierarchy = "Z2", kernel options = ""