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Expression of type ExprTuple

from the theory of proveit.core_expr_types.expr_arrays

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, VertExprArray, b, d
from proveit.core_expr_types import a_1_to_i, c_1_to_i
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(VertExprArray(a_1_to_i, b), VertExprArray(c_1_to_i, d))
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(\left(\begin{array}{ccccc} 
 \multirow{1}{*}{$\begin{array}{c} \uparrow \\ a_{1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ a_{2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ a_{i} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ b \\ \downarrow \end{array}$} \\
\end{array}
\right), \left(\begin{array}{ccccc} 
 \multirow{1}{*}{$\begin{array}{c} \uparrow \\ c_{1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ c_{2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ c_{i} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ d \\ \downarrow \end{array}$} \\
\end{array}
\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
1ExprTuple3, 4
2ExprTuple5, 6
3ExprRangelambda_map: 7
start_index: 9
end_index: 10
4Variable
5ExprRangelambda_map: 8
start_index: 9
end_index: 10
6Variable
7Lambdaparameter: 16
body: 11
8Lambdaparameter: 16
body: 12
9Literal
10Variable
11IndexedVarvariable: 13
index: 16
12IndexedVarvariable: 14
index: 16
13Variable
14Variable
15ExprTuple16
16Variable