logo

Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple
from proveit.linear_algebra.addition import vec_summation_b1toj_fQ
from proveit.numbers.summation import summation_b1toj_fQ
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(vec_summation_b1toj_fQ, summation_b1toj_fQ)
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\sum_{b_{1}, b_{2}, \ldots, b_{j}~|~Q\left(b_{1}, b_{2}, \ldots, b_{j}\right)}~f\left(b_{1}, b_{2}, \ldots, b_{j}\right), \sum_{b_{1}, b_{2}, \ldots, b_{j}~|~Q\left(b_{1}, b_{2}, \ldots, b_{j}\right)}~f\left(b_{1}, b_{2}, \ldots, b_{j}\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 3
operand: 6
2Operationoperator: 4
operand: 6
3Literal
4Literal
5ExprTuple6
6Lambdaparameters: 12
body: 7
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operands: 12
9Operationoperator: 11
operands: 12
10Variable
11Variable
12ExprTuple13
13ExprRangelambda_map: 14
start_index: 15
end_index: 16
14Lambdaparameter: 20
body: 17
15Literal
16Variable
17IndexedVarvariable: 18
index: 20
18Variable
19ExprTuple20
20Variable