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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
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, Neg(IndexedVar(a, sub_expr1)), one, m), b, Neg(c), Neg(Add(a_1_to_n)))
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}\right), \left(-a_{2}\right), \ldots, \left(-a_{m}\right), 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, 3, 4
1ExprRangelambda_map: 5
start_index: 18
end_index: 6
2Variable
3Operationoperator: 12
operand: 10
4Operationoperator: 12
operand: 11
5Lambdaparameter: 23
body: 9
6Variable
7ExprTuple10
8ExprTuple11
9Operationoperator: 12
operand: 20
10Variable
11Operationoperator: 14
operands: 15
12Literal
13ExprTuple20
14Literal
15ExprTuple16
16ExprRangelambda_map: 17
start_index: 18
end_index: 19
17Lambdaparameter: 23
body: 20
18Literal
19Variable
20IndexedVarvariable: 21
index: 23
21Variable
22ExprTuple23
23Variable