We will prove basis_generates EuclidPlane rectangular_regions R2_standard_topology.
We will prove basis_on EuclidPlane rectangular_regions generated_topology EuclidPlane rectangular_regions = R2_standard_topology.
Apply andI to the current goal.
An exact proof term for the current goal is rectangular_regions_basis_plane.
An exact proof term for the current goal is generated_topology_rectangular_regions_eq_R2_standard_topology.