logo

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, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract, two
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, subtract(n, two))
expr = ExprTuple(Add(Add(a_1_to_n, b), Add(sub_expr2, Add(sub_expr3))), Add(a_1_to_n, b, sub_expr2, sub_expr3))
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 - 2}\right)\right), a_{1} +  a_{2} +  \ldots +  a_{n} + b - c+ a_{1} +  a_{2} +  \ldots +  a_{n - 2}\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: 21
operands: 3
2Operationoperator: 21
operands: 4
3ExprTuple5, 6
4ExprTuple9, 10, 11, 16
5Operationoperator: 21
operands: 7
6Operationoperator: 21
operands: 8
7ExprTuple9, 10
8ExprTuple11, 12
9ExprRangelambda_map: 17
start_index: 18
end_index: 25
10Variable
11Operationoperator: 28
operand: 15
12Operationoperator: 21
operands: 14
13ExprTuple15
14ExprTuple16
15Variable
16ExprRangelambda_map: 17
start_index: 18
end_index: 19
17Lambdaparameter: 27
body: 20
18Literal
19Operationoperator: 21
operands: 22
20IndexedVarvariable: 23
index: 27
21Literal
22ExprTuple25, 26
23Variable
24ExprTuple27
25Variable
26Operationoperator: 28
operand: 30
27Variable
28Literal
29ExprTuple30
30Literal