Description: A ball contains its center. (Contributed by NM, 2-Sep-2006) (Revised by Mario Carneiro, 12-Nov-2013) (Revised by Thierry Arnoux, 11-Mar-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | xblcntrps | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp2 | |
|
2 | psmet0 | |
|
3 | 2 | 3adant3 | |
4 | simp3r | |
|
5 | 3 4 | eqbrtrd | |
6 | elblps | |
|
7 | 6 | 3adant3r | |
8 | 1 5 7 | mpbir2and | |