let E be set ; :: thesis: for A being Subset of (E ^omega)
for k being Nat holds (A |^.. k) ^^ (A ?) = (A ?) ^^ (A |^.. k)
let A be Subset of (E ^omega); :: thesis: for k being Nat holds (A |^.. k) ^^ (A ?) = (A ?) ^^ (A |^.. k)
let k be Nat; :: thesis: (A |^.. k) ^^ (A ?) = (A ?) ^^ (A |^.. k)
thus (A |^.. k) ^^ (A ?) = (A |^.. k) ^^ (A |^ (0,1)) by FLANG_2:79
.= (A |^ (0,1)) ^^ (A |^.. k) by Th25
.= (A ?) ^^ (A |^.. k) by FLANG_2:79 ; :: thesis: verum