Proofs
A proof is a series of claims that lead to a conclusion. Some proofs are conditional, which means that the claims can only be made under certain conditions. Click on a statement to see the proof
- expression state at time 19 = "return"
- Control Map at time 19 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 20 = [ entry 0: (pair ("if", False)), [ ] ]
- expression state at time 20 = "iterate_args"
- Control Map at time 20 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 21 = [ entry 0: (pair ("if", False)), [ ] ]
- expression state at time 21 = "call_function_begin"
- Control Map at time 21 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 22 = [ entry 0: (pair ("if", False)), [ ] ]
- the line at time 22 = 3
- the tab at time 22 = 0
- statement at line 3, tab 0 =
elif __eq__(7, 9):
- expression state at time 22 = "end_expr"
- Return Value at time 22 = False
- Control Map at time 22 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 23 = [ entry 0: (pair ("if", False)), [ ] ]
- the line at time 23 = 4
- the tab at time 23 = 0
- statement at line 4, tab 1 =
a = 8
- Control Map at time 23 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 24 = [ entry 0: (pair ("if", False)), [ ] ]
- the line at time 24 = 5
- the tab at time 24 = 0
- statement at line 5, tab 0 =
else:
- Control Map at time 24 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 25 = [ entry 0: (pair ("if", False)), [ ] ]
- the line at time 25 = 6
- the tab at time 25 = 1
- statement at line 6, tab 1 =
a = 9
- Control Map at time 25 = [ entry 0: (pair ("if", False)), [ ] ]
then Control Map at time 26 = [ entry 0: (pair ("if", False)), [ ] ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
if __eq__(7, 7):
- expression state at time 0 = "not_expr"
- Control Map at time 0 = [ ]
then Control Map at time 1 = [ ]
- expression state at time 1 = "begin_expr"
- Control Map at time 1 = [ ]
then Control Map at time 2 = [ ]
- expression state at time 2 = "iterate_args"
- Control Map at time 2 = [ ]
then Control Map at time 3 = [ ]
- expression state at time 3 = "begin_expr"
- Control Map at time 3 = [ ]
then Control Map at time 4 = [ ]
- expression state at time 4 = "return"
- Control Map at time 4 = [ ]
then Control Map at time 5 = [ ]
- expression state at time 5 = "iterate_args"
- Control Map at time 5 = [ ]
then Control Map at time 6 = [ ]
- expression state at time 6 = "begin_expr"
- Control Map at time 6 = [ ]
then Control Map at time 7 = [ ]
- expression state at time 7 = "return"
- Control Map at time 7 = [ ]
then Control Map at time 8 = [ ]
- expression state at time 8 = "iterate_args"
- Control Map at time 8 = [ ]
then Control Map at time 9 = [ ]
- expression state at time 9 = "call_function_begin"
- Control Map at time 9 = [ ]
then Control Map at time 10 = [ ]
- the line at time 10 = 1
- the tab at time 10 = 0
- statement at line 1, tab 0 =
if __eq__(7, 7):
- expression state at time 10 = "end_expr"
- Return Value at time 10 = True
- Control Map at time 10 = [ ]
then Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 11 = 2
- the tab at time 11 = 1
- statement at line 2, tab 1 =
a = 7
- Control Map at time 11 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 12 = 3
- the tab at time 12 = 1
- statement at line 3, tab 0 =
elif __eq__(3, 3):
- Control Map at time 12 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 13 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 13 = 3
- the tab at time 13 = 0
- statement at line 3, tab 0 =
elif __eq__(3, 3):
- expression state at time 13 = "not_expr"
- Control Map at time 13 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 14 = 4
- the tab at time 14 = 0
- statement at line 4, tab 1 =
a = 8
- Control Map at time 14 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 15 = 5
- the tab at time 15 = 0
- statement at line 5, tab 0 =
else:
- Control Map at time 15 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 16 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 16 = 6
- the tab at time 16 = 0
- statement at line 6, tab 1 =
a = 9
- Control Map at time 16 = [ entry 0: (pair ("if", True)), [ ] ]
then Control Map at time 17 = [ entry 0: (pair ("if", True)), [ ] ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
a = 0
- 0 is constant
- stack at time 0 = [ ]
then stack at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
a = 0
- 0 is constant
- Python Object Store at time 0 = [ ]
then Python Object Store at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
a = 0
- Control Map at time 0 = [ ]
then Control Map at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
a = 0
- Class Map at time 0 = [ ]
then Class Map at time 1 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then the expression at time 2 = __lt__(a, 2)
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then expression state at time 2 = "begin_expr"
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then the line at time 2 = 2
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then the tab at time 2 = 0
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then Value Stack at time 2 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then parent stack at time 2 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
then arguments stack at time 2 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
- Python Object Store at time 1 = [ ]
then Python Object Store at time 2 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 1 = "not_expr"
- Control Map at time 1 = [ ]
then Control Map at time 2 = [ ]
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- Class Map at time 1 = [ ]
then Class Map at time 2 = [ ]
- expression state at time 2 = "begin_expr"
- Python Object Store at time 2 = [ ]
then Python Object Store at time 3 = [ ]
- expression state at time 2 = "begin_expr"
- Control Map at time 2 = [ ]
then Control Map at time 3 = [ ]
- expression state at time 2 = "begin_expr"
- Class Map at time 2 = [ ]
then Class Map at time 3 = [ ]
- expression state at time 3 = "iterate_args"
- Python Object Store at time 3 = [ ]
then Python Object Store at time 4 = [ ]
- expression state at time 3 = "iterate_args"
- Control Map at time 3 = [ ]
then Control Map at time 4 = [ ]
- expression state at time 3 = "iterate_args"
- Class Map at time 3 = [ ]
then Class Map at time 4 = [ ]
- expression state at time 4 = "begin_expr"
- Python Object Store at time 4 = [ ]
then Python Object Store at time 5 = [ ]
- expression state at time 4 = "begin_expr"
- Control Map at time 4 = [ ]
then Control Map at time 5 = [ ]
- expression state at time 4 = "begin_expr"
- Class Map at time 4 = [ ]
then Class Map at time 5 = [ ]
- expression state at time 5 = "return"
- arguments stack at time 5 = [ [ 2, [ ] ], [ ] ]
then arguments stack at time 6 = [ [ 2, [ ] ], [ ] ]
- expression state at time 5 = "return"
- Class Map at time 5 = [ ]
then Class Map at time 6 = [ ]
- expression state at time 5 = "return"
- Python Object Store at time 5 = [ ]
then Python Object Store at time 6 = [ ]
- expression state at time 5 = "return"
- Control Map at time 5 = [ ]
then Control Map at time 6 = [ ]
- expression state at time 6 = "iterate_args"
- Python Object Store at time 6 = [ ]
then Python Object Store at time 7 = [ ]
- expression state at time 6 = "iterate_args"
- Control Map at time 6 = [ ]
then Control Map at time 7 = [ ]
- expression state at time 6 = "iterate_args"
- Class Map at time 6 = [ ]
then Class Map at time 7 = [ ]
- expression state at time 7 = "begin_expr"
- Python Object Store at time 7 = [ ]
then Python Object Store at time 8 = [ ]
- expression state at time 7 = "begin_expr"
- Control Map at time 7 = [ ]
then Control Map at time 8 = [ ]
- expression state at time 7 = "begin_expr"
- Class Map at time 7 = [ ]
then Class Map at time 8 = [ ]
- expression state at time 8 = "return"
- arguments stack at time 8 = [ [ ], [ ] ]
then arguments stack at time 9 = [ [ ], [ ] ]
- expression state at time 8 = "return"
- Class Map at time 8 = [ ]
then Class Map at time 9 = [ ]
- expression state at time 8 = "return"
- Python Object Store at time 8 = [ ]
then Python Object Store at time 9 = [ ]
- expression state at time 8 = "return"
- Control Map at time 8 = [ ]
then Control Map at time 9 = [ ]
- expression state at time 9 = "iterate_args"
- Python Object Store at time 9 = [ ]
then Python Object Store at time 10 = [ ]
- expression state at time 9 = "iterate_args"
- Control Map at time 9 = [ ]
then Control Map at time 10 = [ ]
- expression state at time 9 = "iterate_args"
- Class Map at time 9 = [ ]
then Class Map at time 10 = [ ]
- expression state at time 10 = "call_function_begin"
- the expression at time 10 =
__lt__(a, 2)
- Python Object Store at time 10 = [ ]
then Python Object Store at time 11 = [ ]
- expression state at time 10 = "call_function_begin"
- arguments stack at time 10 = [ ]
then arguments stack at time 11 = [ ]
- expression state at time 10 = "call_function_begin"
- Control Map at time 10 = [ ]
then Control Map at time 11 = [ ]
- expression state at time 10 = "call_function_begin"
- Class Map at time 10 = [ ]
then Class Map at time 11 = [ ]
- the line at time 11 = 2
- the tab at time 11 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 11 = "end_expr"
- Return Value at time 11 = True
- Control Map at time 11 = [ ]
then Control Map at time 12 = [ entry 0: (pair ("while", 2)), [ ] ]
- the line at time 11 = 2
- the tab at time 11 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- Class Map at time 11 = [ ]
then Class Map at time 12 = [ ]
- the line at time 11 = 2
- the tab at time 11 = 0
- statement at line 2, tab 0 =
while __lt__(a, 2):
- expression state at time 11 = "end_expr"
- Python Object Store at time 11 = [ ]
then Python Object Store at time 12 = [ ]
- the line at time 12 = 3
- the tab at time 12 = 1
- statement at line 3, tab 1 =
a = __add__(a, 1)
- expression state at time 12 = "not_expr"
then arguments stack at time 13 = [ ]
- the line at time 12 = 3
- the tab at time 12 = 1
- statement at line 3, tab 1 =
a = __add__(a, 1)
- expression state at time 12 = "not_expr"
- Python Object Store at time 12 = [ ]
then Python Object Store at time 13 = [ ]
- the line at time 12 = 3
- the tab at time 12 = 1
- statement at line 3, tab 1 =
a = __add__(a, 1)
- Control Map at time 12 = [ entry 0: (pair ("while", 2)), [ ] ]
then Control Map at time 13 = [ entry 0: (pair ("while", 2)), [ ] ]
- the line at time 12 = 3
- the tab at time 12 = 1
- statement at line 3, tab 1 =
a = __add__(a, 1)
- Class Map at time 12 = [ ]
then Class Map at time 13 = [ ]
- expression state at time 13 = "begin_expr"
- Python Object Store at time 13 = [ ]
then Python Object Store at time 14 = [ ]
- expression state at time 13 = "begin_expr"
- Control Map at time 13 = [ entry 0: (pair ("while", 2)), [ ] ]
then Control Map at time 14 = [ entry 0: (pair ("while", 2)), [ ] ]
- expression state at time 13 = "begin_expr"
- Class Map at time 13 = [ ]
then Class Map at time 14 = [ ]
- expression state at time 14 = "iterate_args"
- Python Object Store at time 14 = [ ]
then Python Object Store at time 15 = [ ]
- expression state at time 14 = "iterate_args"
- Control Map at time 14 = [ entry 0: (pair ("while", 2)), [ ] ]
then Control Map at time 15 = [ entry 0: (pair ("while", 2)), [ ] ]
- expression state at time 14 = "iterate_args"
- Class Map at time 14 = [ ]
then Class Map at time 15 = [ ]
- expression state at time 15 = "begin_expr"
- Python Object Store at time 15 = [ ]
then Python Object Store at time 16 = [ ]
- expression state at time 15 = "begin_expr"
- Control Map at time 15 = [ entry 0: (pair ("while", 2)), [ ] ]
then Control Map at time 16 = [ entry 0: (pair ("while", 2)), [ ] ]
- expression state at time 15 = "begin_expr"
- Class Map at time 15 = [ ]
then Class Map at time 16 = [ ]