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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, four, frac, one, sqrt, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = sqrt(b)
expr = ExprTuple(frac(Mult(d, b, four, a, frac(one, three), d, c), sub_expr1), frac(Mult(frac(four, three), Exp(d, two), b, a, c), sub_expr1))
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(\frac{d \cdot b \cdot 4 \cdot a \cdot \frac{1}{3} \cdot d \cdot c}{\sqrt{b}}, \frac{\frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c}{\sqrt{b}}\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, 7
4ExprTuple6, 7
5Operationoperator: 9
operands: 8
6Operationoperator: 9
operands: 10
7Operationoperator: 21
operands: 11
8ExprTuple27, 17, 25, 15, 12, 27, 16
9Literal
10ExprTuple13, 14, 17, 15, 16
11ExprTuple17, 18
12Operationoperator: 23
operands: 19
13Operationoperator: 23
operands: 20
14Operationoperator: 21
operands: 22
15Variable
16Variable
17Variable
18Operationoperator: 23
operands: 24
19ExprTuple28, 26
20ExprTuple25, 26
21Literal
22ExprTuple27, 29
23Literal
24ExprTuple28, 29
25Literal
26Literal
27Variable
28Literal
29Literal