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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 ExprRange, ExprTuple, IndexedVar, Variable, a, b, c
from proveit.numbers import Add, Neg, five, one, seven, six, subtract
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(a, sub_expr1)
sub_expr3 = Neg(c)
expr = ExprTuple(Add(Add(ExprRange(sub_expr1, sub_expr2, one, five), b), subtract(sub_expr3, Add(ExprRange(sub_expr1, sub_expr2, one, seven)))), Add(b, sub_expr3, Neg(IndexedVar(a, six)), Neg(IndexedVar(a, seven))))
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_{5} + b\right) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{7}\right)\right), b - c - a_{6} - a_{7}\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: 28
operands: 3
2Operationoperator: 28
operands: 4
3ExprTuple5, 6
4ExprTuple14, 15, 7, 8
5Operationoperator: 28
operands: 9
6Operationoperator: 28
operands: 10
7Operationoperator: 21
operand: 17
8Operationoperator: 21
operand: 18
9ExprTuple13, 14
10ExprTuple15, 16
11ExprTuple17
12ExprTuple18
13ExprRangelambda_map: 31
start_index: 32
end_index: 19
14Variable
15Operationoperator: 21
operand: 25
16Operationoperator: 21
operand: 26
17IndexedVarvariable: 35
index: 27
18IndexedVarvariable: 35
index: 33
19Literal
20ExprTuple25
21Literal
22ExprTuple26
23ExprTuple27
24ExprTuple33
25Variable
26Operationoperator: 28
operands: 29
27Literal
28Literal
29ExprTuple30
30ExprRangelambda_map: 31
start_index: 32
end_index: 33
31Lambdaparameter: 37
body: 34
32Literal
33Literal
34IndexedVarvariable: 35
index: 37
35Variable
36ExprTuple37
37Variable