Let x0 of type (ι → ι → ι) → ι → ι → ι be given.
Apply unknownprop_1becf59e2b0a0d9ff1e1505a7a603dfecdbed9318a6b70349a05c972b5872736 with
x0 ChurchBoolTru,
x0 ChurchBoolFal leaving 2 subgoals.
Apply H0 with
ChurchBoolTru.
The subproof is completed by applying unknownprop_4b2c4a0487c2b1a228c5d07bbf352ffca25633bec988b0f94ee850e02347e107.
Apply H0 with
ChurchBoolFal.
The subproof is completed by applying unknownprop_5066d1b2b30c335c067f01ac13f147e53d00378a90e5b6ab1432446a8181f6dd.