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Expression of type ExprTuple

from the theory of proveit.numbers.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, Lambda, b
from proveit.core_expr_types import a_1_to_m
from proveit.logic import Equals
from proveit.numbers import Add
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a_1_to_m, b], Equals(Add(a_1_to_m, b), Add(Add(a_1_to_m), b)).with_wrapping_at(2)))
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