A closure body that can be installed with an attachable liner membrane on a container of product to define a package wherein the container has (i) an interior in which the product is contained, (ii) an exterior, and (iii) an access opening communicating between the exterior and the interior, and the access opening can be initially occluded by the liner membrane attached to both the container and closure body around the access opening to define an installed closure on the container, said closure body comprising: A. a peripheral portion for being mounted on the container around the access opening; B. a separable portion that (i) is disposed laterally inwardly of said peripheral portion; (ii) is initially connected to said peripheral portion by at least one frangible connection; and (iii) can be at least partially separated from said peripheral portion upon breaking of said at least one frangible connection; and C. an opening member that (i) is connected with said separable portion to accommodate movement of said opening member relative to said separable portion; (ii) has a grippable portion and a puncture portion each disposed in an initial inactive orientation relative to said separable portion, and wherein said grippable portion is configured to be lifted away from said inactive orientation and pulled outwardly away from said peripheral portion, whereby, after said closure body and the liner membrane have been installed on the container, then (a) said grippable portion can be lifted away from said inactive orientation to re-orient said opening member relative to said separable portion so that said puncture portion punctures the liner membrane, and (b) subsequently said grippable portion can be pulled outwardly away from said peripheral portion so that said opening member is pulled outwardly away from said peripheral portion to break said at least one frangible connection between said separable portion and said peripheral portion; the closure body being characterized in that said separable portion defines a recess configured to accommodate movement of said puncture portion through said recess when said grippable portion is lifted away from said inactive orientation. A. a peripheral portion for being mounted on the container around the access opening; B. a separable portion that (i) is disposed laterally inwardly of said peripheral portion; (ii) is initially connected to said peripheral portion by at least one frangible connection; and (iii) can be at least partially separated from said peripheral portion upon breaking of said at least one frangible connection; and (i) is disposed laterally inwardly of said peripheral portion; (ii) is initially connected to said peripheral portion by at least one frangible connection; and (iii) can be at least partially separated from said peripheral portion upon breaking of said at least one frangible connection; and C. an opening member that (i) is connected with said separable portion to accommodate movement of said opening member relative to said separable portion; (ii) has a grippable portion and a puncture portion each disposed in an initial inactive orientation relative to said separable portion, and wherein said grippable portion is configured to be lifted away from said inactive orientation and pulled outwardly away from said peripheral portion, whereby, after said closure body and the liner membrane have been installed on the container, then (a) said grippable portion can be lifted away from said inactive orientation to re-orient said opening member relative to said separable portion so that said puncture portion punctures the liner membrane, and (b) subsequently said grippable portion can be pulled outwardly away from said peripheral portion so that said opening member is pulled outwardly away from said peripheral portion to break said at least one frangible connection between said separable portion and said peripheral portion; the closure body being characterized in that said separable portion defines a recess configured to accommodate movement of said puncture portion through said recess when said grippable portion is lifted away from said inactive orientation. (i) is connected with said separable portion to accommodate movement of said opening member relative to said separable portion; (ii) has a grippable portion and a puncture portion each disposed in an initial inactive orientation relative to said separable portion, and wherein said grippable portion is configured to be lifted away from said inactive orientation and pulled outwardly away from said peripheral portion, whereby, after said closure body and the liner membrane have been installed on the container, then (a) said grippable portion can be lifted away from said inactive orientation to re-orient said opening member relative to said separable portion so that said puncture portion punctures the liner membrane, and (b) subsequently said grippable portion can be pulled outwardly away from said peripheral portion so that said opening member is pulled outwardly away from said peripheral portion to break said at least one frangible connection between said separable portion and said peripheral portion; (a) said grippable portion can be lifted away from said inactive orientation to re-orient said opening member relative to said separable portion so that said puncture portion punctures the liner membrane, and (b) subsequently said grippable portion can be pulled outwardly away from said peripheral portion so that said opening member is pulled outwardly away from said peripheral portion to break said at least one frangible connection between said separable portion and said peripheral portion;