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Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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, a, b, c, d
from proveit.numbers import Exp, Mult, Neg, four, frac, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(four, three)
sub_expr2 = Exp(d, two)
sub_expr3 = Exp(b, Neg(frac(one, two)))
expr = ExprTuple(Mult(Mult(sub_expr1, sub_expr2, b, a, c), sub_expr3), Mult(sub_expr1, sub_expr2, b, a, c, 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(\frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c\right) \cdot b^{-\frac{1}{2}}, \frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c \cdot b^{-\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: 7
operands: 3
2Operationoperator: 7
operands: 4
3ExprTuple5, 6
4ExprTuple10, 11, 14, 12, 13, 6
5Operationoperator: 7
operands: 8
6Operationoperator: 17
operands: 9
7Literal
8ExprTuple10, 11, 14, 12, 13
9ExprTuple14, 15
10Operationoperator: 25
operands: 16
11Operationoperator: 17
operands: 18
12Variable
13Variable
14Variable
15Operationoperator: 19
operand: 24
16ExprTuple21, 22
17Literal
18ExprTuple23, 28
19Literal
20ExprTuple24
21Literal
22Literal
23Variable
24Operationoperator: 25
operands: 26
25Literal
26ExprTuple27, 28
27Literal
28Literal