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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.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.linear_algebra import VecAdd
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(VecAdd(a_1_to_i, b_1_to_j, c_1_to_k), VecAdd(a_1_to_i, VecAdd(b_1_to_j), c_1_to_k))
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(a_{1} +  a_{2} +  \ldots +  a_{i}+ b_{1} +  b_{2} +  \ldots +  b_{j}+ c_{1} +  c_{2} +  \ldots +  c_{k}, a_{1} +  a_{2} +  \ldots +  a_{i} + \left(b_{1} +  b_{2} +  \ldots +  b_{j}\right)+ c_{1} +  c_{2} +  \ldots +  c_{k}\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: 10
operands: 3
2Operationoperator: 10
operands: 4
3ExprTuple5, 15, 7
4ExprTuple5, 6, 7
5ExprRangelambda_map: 8
start_index: 19
end_index: 9
6Operationoperator: 10
operands: 11
7ExprRangelambda_map: 12
start_index: 19
end_index: 13
8Lambdaparameter: 25
body: 14
9Variable
10Literal
11ExprTuple15
12Lambdaparameter: 25
body: 16
13Variable
14IndexedVarvariable: 17
index: 25
15ExprRangelambda_map: 18
start_index: 19
end_index: 20
16IndexedVarvariable: 21
index: 25
17Variable
18Lambdaparameter: 25
body: 22
19Literal
20Variable
21Variable
22IndexedVarvariable: 23
index: 25
23Variable
24ExprTuple25
25Variable