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 52 = "iterate_args"
- arguments stack at time 52 = [ [ ], [ ] ]
- parent stack at time 52 = [
__mul__(value, 4)
, [ ] ]
then the expression at time 53 = __mul__(value, 4)
- expression state at time 52 = "iterate_args"
- arguments stack at time 52 = [ [ ], [ ] ]
- parent stack at time 52 = [
__mul__(value, 4)
, [ ] ]
then parent stack at time 53 = [ ]
- expression state at time 52 = "iterate_args"
- arguments stack at time 52 = [ [ ], [ ] ]
- parent stack at time 52 = [
__mul__(value, 4)
, [ ] ]
then arguments stack at time 53 = [ ]
- expression state at time 52 = "iterate_args"
- Value Stack at time 52 = [ [ 4, [ 3, [ ] ] ], [ ] ]
then Value Stack at time 53 = [ [ 4, [ 3, [ ] ] ], [ ] ]
- expression state at time 52 = "iterate_args"
- the line at time 52 = 3
then the line at time 53 = 3
- expression state at time 52 = "iterate_args"
- the tab at time 52 = 1
then the tab at time 53 = 1
- expression state at time 52 = "iterate_args"
- stack at time 52 = [ ]
then stack at time 53 = [ ]
- expression state at time 52 = "iterate_args"
- Python Object Store at time 52 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 53 = [ [1, 2, 3]
, [ ] ]
- expression state at time 52 = "iterate_args"
- Control Map at time 52 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 53 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- expression state at time 52 = "iterate_args"
- Variables Map at time 52 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]
then Variables Map at time 53 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]
- expression state at time 52 = "iterate_args"
- Class Map at time 52 = [ ]
then Class Map at time 53 = [ ]
- expression state at time 53 = "call_function_begin"
- the expression at time 53 =
__mul__(value, 4)
- Python Object Store at time 53 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 54 = [ [1, 2, 3]
, [ ] ]
- expression state at time 53 = "call_function_begin"
- Value Stack at time 53 = [ [ 4, [ 3, [ ] ] ], [ ] ]
- the expression at time 53 =
__mul__(value, 4)
then Return Value at time 54 = 12
- expression state at time 53 = "call_function_begin"
- parent stack at time 53 = [ ]
- the expression at time 53 =
__mul__(value, 4)
then expression state at time 54 = "end_expr"
- expression state at time 53 = "call_function_begin"
- Value Stack at time 53 = [ [ 4, [ 3, [ ] ] ], [ ] ]
- the expression at time 53 =
__mul__(value, 4)
then Value Stack at time 54 = [ ]
- expression state at time 53 = "call_function_begin"
- arguments stack at time 53 = [ ]
then arguments stack at time 54 = [ ]
- expression state at time 53 = "call_function_begin"
- parent stack at time 53 = [ ]
then parent stack at time 54 = [ ]
- expression state at time 53 = "call_function_begin"
- Control Map at time 53 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 54 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- expression state at time 53 = "call_function_begin"
- Variables Map at time 53 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]
then Variables Map at time 54 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]
- expression state at time 53 = "call_function_begin"
- the line at time 53 = 3
then the line at time 54 = 3
- expression state at time 53 = "call_function_begin"
- the tab at time 53 = 1
then the tab at time 54 = 1
- expression state at time 53 = "call_function_begin"
- stack at time 53 = [ ]
then stack at time 54 = [ ]
- expression state at time 53 = "call_function_begin"
- Class Map at time 53 = [ ]
then Class Map at time 54 = [ ]
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- expression state at time 54 = "end_expr"
- Variables Map at time 54 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 8, [ ] ] ] ]
- Return Value at time 54 = 12
then Variables Map at time 55 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- expression state at time 54 = "end_expr"
then the line at time 55 = 4
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- expression state at time 54 = "end_expr"
then the tab at time 55 = 1
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- expression state at time 54 = "end_expr"
- Python Object Store at time 54 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 55 = [ [1, 2, 3]
, [ ] ]
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- stack at time 54 = [ ]
- expression state at time 54 = "end_expr"
then stack at time 55 = [ ]
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- Control Map at time 54 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- the line at time 54 = 3
- the tab at time 54 = 1
- statement at line 3, tab 1 =
x = __mul__(value, 4)
- Class Map at time 54 = [ ]
then Class Map at time 55 = [ ]
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then the line at time 56 = 2
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then the tab at time 56 = 0
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Variables Map at time 55 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
then Variables Map at time 56 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- stack at time 55 = [ ]
then stack at time 56 = [ ]
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Python Object Store at time 55 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 56 = [ [1, 2, 3]
, [ ] ]
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- the line at time 55 = 4
- the tab at time 55 = 1
- number of lines = 3
- Control Map at time 55 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Class Map at time 55 = [ ]
then Class Map at time 56 = [ ]
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then the line at time 57 = 3
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then the tab at time 57 = 0
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then expression state at time 57 = "not_expr"
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- stack at time 56 = [ ]
then stack at time 57 = [ ]
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Python Object Store at time 56 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 57 = [ [1, 2, 3]
, [ ] ]
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Variables Map at time 56 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
then Variables Map at time 57 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- Class Map at time 56 = [ ]
then Class Map at time 57 = [ ]
- the line at time 56 = 2
- the tab at time 56 = 0
- statement at line 2, tab 0 =
for value in numbers:
- Control Map at time 56 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 57 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
then the line at time 58 = 4
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
then the tab at time 58 = 0
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
- Variables Map at time 57 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
then Variables Map at time 58 = [ entry numbers: (Python reference 0), [ entry value: 3, [ entry x: 12, [ ] ] ] ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
- stack at time 57 = [ ]
then stack at time 58 = [ ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
- Python Object Store at time 57 = [
[1, 2, 3]
, [ ] ]
then Python Object Store at time 58 = [ [1, 2, 3]
, [ ] ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
- Control Map at time 57 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
then Control Map at time 58 = [ entry 0: (trio ("for", 2, [ ])), [ ] ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
- Class Map at time 57 = [ ]
then Class Map at time 58 = [ ]
- the line at time 57 = 3
- the tab at time 57 = 0
- statement at line 3, tab 1 =
x = value * 4
then expression state at time 58 = "not_expr"
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then the expression at time 1 = [4, 7]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then expression state at time 1 = "begin_expr"
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then the line at time 1 = 1
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then the tab at time 1 = 0
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then Value Stack at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then parent stack at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
then arguments stack at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
- Variables Map at time 0 = [ ]
then Variables Map at time 1 = [ ]
- the line at time 0 = 1
- the tab at time 0 = 0
- statement at line 1, tab 0 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
- 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 =
numbers = [4, 7]
- expression state at time 0 = "not_expr"
- 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 =
numbers = [4, 7]
- 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 =
numbers = [4, 7]
- Class Map at time 0 = [ ]
then Class Map at time 1 = [ ]
- expression state at time 1 = "begin_expr"
- the expression at time 1 =
[4, 7]
- Value Stack at time 1 = [ ]
then Value Stack at time 2 = [ [ ], [ ] ]
- expression state at time 1 = "begin_expr"
- the expression at time 1 =
[4, 7]
- parent stack at time 1 = [ ]
then parent stack at time 2 = [ [4, 7]
, [ ] ]
- expression state at time 1 = "begin_expr"
- the expression at time 1 =
[4, 7]
- arguments stack at time 1 = [ ]
then arguments stack at time 2 = [ [ 4, [ 7, [ ] ] ], [ ] ]
- expression state at time 1 = "begin_expr"
- the expression at time 1 =
[4, 7]
then expression state at time 2 = "iterate_args"
- expression state at time 1 = "begin_expr"
- the expression at time 1 =
[4, 7]
then the expression at time 2 = [4, 7]
- expression state at time 1 = "begin_expr"
- Variables Map at time 1 = [ ]
then Variables Map at time 2 = [ ]
- expression state at time 1 = "begin_expr"
- the line at time 1 = 1
then the line at time 2 = 1
- expression state at time 1 = "begin_expr"
- the tab at time 1 = 0
then the tab at time 2 = 0
- expression state at time 1 = "begin_expr"
- stack at time 1 = [ ]
then stack at time 2 = [ ]
- expression state at time 1 = "begin_expr"
- Python Object Store at time 1 = [ ]
then Python Object Store at time 2 = [ ]
- expression state at time 1 = "begin_expr"
- Control Map at time 1 = [ ]
then Control Map at time 2 = [ ]
- expression state at time 1 = "begin_expr"
- Class Map at time 1 = [ ]
then Class Map at time 2 = [ ]
- expression state at time 2 = "iterate_args"
- arguments stack at time 2 = [ [ 4, [ 7, [ ] ] ], [ ] ]
then the expression at time 3 = 4
- expression state at time 2 = "iterate_args"
- arguments stack at time 2 = [ [ 4, [ 7, [ ] ] ], [ ] ]
then arguments stack at time 3 = [ [ 7, [ ] ], [ ] ]
- expression state at time 2 = "iterate_args"
- arguments stack at time 2 = [ [ 4, [ 7, [ ] ] ], [ ] ]
then expression state at time 3 = "begin_expr"
- expression state at time 2 = "iterate_args"
- arguments stack at time 2 = [ [ 4, [ 7, [ ] ] ], [ ] ]
- parent stack at time 2 = [
[4, 7]
, [ ] ]
then parent stack at time 3 = [ [4, 7]
, [ ] ]
- expression state at time 2 = "iterate_args"
- Value Stack at time 2 = [ [ ], [ ] ]
then Value Stack at time 3 = [ [ ], [ ] ]
- expression state at time 2 = "iterate_args"
- the line at time 2 = 1
then the line at time 3 = 1
- expression state at time 2 = "iterate_args"
- the tab at time 2 = 0
then the tab at time 3 = 0
- expression state at time 2 = "iterate_args"
- stack at time 2 = [ ]
then stack at time 3 = [ ]
- expression state at time 2 = "iterate_args"
- Python Object Store at time 2 = [ ]
then Python Object Store at time 3 = [ ]
- expression state at time 2 = "iterate_args"
- Control Map at time 2 = [ ]
then Control Map at time 3 = [ ]
- expression state at time 2 = "iterate_args"
- Variables Map at time 2 = [ ]
then Variables Map at time 3 = [ ]
- expression state at time 2 = "iterate_args"
- Class Map at time 2 = [ ]
then Class Map at time 3 = [ ]
- the expression at time 3 = 4
- expression state at time 3 = "begin_expr"
- 4 is constant
- parent stack at time 3 = [
[4, 7]
, [ ] ]
then expression state at time 4 = "return"
- the expression at time 3 = 4
- expression state at time 3 = "begin_expr"
- 4 is constant
- Value Stack at time 3 = [ [ ], [ ] ]
then Value Stack at time 4 = [ [ ], [ ] ]
- the expression at time 3 = 4
- expression state at time 3 = "begin_expr"
- 4 is constant
- arguments stack at time 3 = [ [ 7, [ ] ], [ ] ]
then arguments stack at time 4 = [ [ 7, [ ] ], [ ] ]
- expression state at time 3 = "begin_expr"
- the expression at time 3 = 4
- 4 is constant
then Return Value at time 4 = 4
- expression state at time 3 = "begin_expr"
- the expression at time 3 = 4
- 4 is constant
- parent stack at time 3 = [
[4, 7]
, [ ] ]
then parent stack at time 4 = [ [4, 7]
, [ ] ]