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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, m
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(c)
sub_expr3 = ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, m)
sub_expr4 = Add(a_1_to_n)
expr = ExprTuple(Add(Add(sub_expr3, b), subtract(sub_expr2, sub_expr4)), Add(sub_expr3, b, sub_expr2, Neg(sub_expr4)))
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) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{n}\right)\right), a_{1} +  a_{2} +  \ldots +  a_{m} + b - c - \left(a_{1} +  a_{2} +  \ldots +  a_{n}\right)\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: 19
operands: 3
2Operationoperator: 19
operands: 4
3ExprTuple5, 6
4ExprTuple9, 10, 11, 12
5Operationoperator: 19
operands: 7
6Operationoperator: 19
operands: 8
7ExprTuple9, 10
8ExprTuple11, 12
9ExprRangelambda_map: 22
start_index: 23
end_index: 13
10Variable
11Operationoperator: 15
operand: 17
12Operationoperator: 15
operand: 18
13Variable
14ExprTuple17
15Literal
16ExprTuple18
17Variable
18Operationoperator: 19
operands: 20
19Literal
20ExprTuple21
21ExprRangelambda_map: 22
start_index: 23
end_index: 24
22Lambdaparameter: 28
body: 25
23Literal
24Variable
25IndexedVarvariable: 26
index: 28
26Variable
27ExprTuple28
28Variable