logo

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
from proveit.numbers import Add, Exp, Mult, Neg, frac, one, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(Mult(two, m), Mult(two, one))
expr = ExprTuple(Mult(sub_expr1, Exp(two, Neg(one))), Mult(sub_expr1, frac(one, two)))
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(\left(2 \cdot m\right) + \left(2 \cdot 1\right)\right) \cdot 2^{-1}, \left(\left(2 \cdot m\right) + \left(2 \cdot 1\right)\right) \cdot \frac{1}{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: 20
operands: 3
2Operationoperator: 20
operands: 4
3ExprTuple6, 5
4ExprTuple6, 7
5Operationoperator: 8
operands: 9
6Operationoperator: 10
operands: 11
7Operationoperator: 12
operands: 13
8Literal
9ExprTuple23, 14
10Literal
11ExprTuple15, 16
12Literal
13ExprTuple24, 23
14Operationoperator: 17
operand: 24
15Operationoperator: 20
operands: 19
16Operationoperator: 20
operands: 21
17Literal
18ExprTuple24
19ExprTuple23, 22
20Literal
21ExprTuple23, 24
22Variable
23Literal
24Literal