# from the theory of proveit.linear_algebra¶

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.
# import Expression classes needed to build the expression
from proveit import B, ExprTuple, Lambda
from proveit.core_expr_types import A_1_to_m
from proveit.logic import Equals

In [2]:
# build up the expression from sub-expressions

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(A_{1}, A_{2}, \ldots, A_{m}, B\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left(A_{1} +  A_{2} +  \ldots +  A_{m} + B\right) =  \\ \left(\left(A_{1} +  A_{2} +  \ldots +  A_{m}\right) + B\right) \end{array} \end{array}\right)\right)

In [5]:
stored_expr.style_options()

no style options
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 7
body: 2
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6
5Operationoperator: 11
operands: 7
6Operationoperator: 11
operands: 8
7ExprTuple13, 10
8ExprTuple9, 10
9Operationoperator: 11
operands: 12
10Variable
11Literal
12ExprTuple13
13ExprRangelambda_map: 14
start_index: 15
end_index: 16
14Lambdaparameter: 20
body: 17
15Literal
16Variable
17IndexedVarvariable: 18
index: 20
18Variable
19ExprTuple20
20Variable