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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, b, c
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, subtract
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Add(Add(a_1_to_n, b), subtract(Neg(c), Add(a_1_to_n))), subtract(b, c))
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_{n} + b\right) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{n}\right)\right), b - c\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: 17
operands: 3
2Operationoperator: 17
operands: 4
3ExprTuple5, 6
4ExprTuple9, 10
5Operationoperator: 17
operands: 7
6Operationoperator: 17
operands: 8
7ExprTuple19, 9
8ExprTuple10, 11
9Variable
10Operationoperator: 13
operand: 15
11Operationoperator: 13
operand: 16
12ExprTuple15
13Literal
14ExprTuple16
15Variable
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19
19ExprRangelambda_map: 20
start_index: 21
end_index: 22
20Lambdaparameter: 26
body: 23
21Literal
22Variable
23IndexedVarvariable: 24
index: 26
24Variable
25ExprTuple26
26Variable