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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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, m, x
from proveit.numbers import Add, Exp, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(x, Add(m, one))
sub_expr2 = Exp(x, Add(two, m))
expr = ExprTuple(Add(subtract(one, sub_expr1), subtract(sub_expr1, sub_expr2)), subtract(one, sub_expr2))
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(1 - x^{m + 1}\right) + \left(x^{m + 1} - x^{2 + m}\right), 1 - x^{2 + m}\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: 23
operands: 3
2Operationoperator: 23
operands: 4
3ExprTuple5, 6
4ExprTuple25, 10
5Operationoperator: 23
operands: 7
6Operationoperator: 23
operands: 8
7ExprTuple25, 9
8ExprTuple14, 10
9Operationoperator: 12
operand: 14
10Operationoperator: 12
operand: 15
11ExprTuple14
12Literal
13ExprTuple15
14Operationoperator: 17
operands: 16
15Operationoperator: 17
operands: 18
16ExprTuple20, 19
17Literal
18ExprTuple20, 21
19Operationoperator: 23
operands: 22
20Variable
21Operationoperator: 23
operands: 24
22ExprTuple27, 25
23Literal
24ExprTuple26, 27
25Literal
26Literal
27Variable