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Expression of type ExprTuple

from the theory of proveit.numbers.division

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
from proveit.numbers import Exp, Mult, Neg, four, frac, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Neg(one)
sub_expr2 = Mult(frac(four, three), a, b)
expr = ExprTuple(Mult(sub_expr2, Exp(Mult(frac(two, three), c), sub_expr1)), Mult(sub_expr2, Mult(frac(three, two), Exp(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(\left(\frac{4}{3} \cdot a \cdot b\right) \cdot \left(\frac{2}{3} \cdot c\right)^{-1}, \left(\frac{4}{3} \cdot a \cdot b\right) \cdot \left(\frac{3}{2} \cdot c^{-1}\right)\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: 17
operands: 3
2Operationoperator: 17
operands: 4
3ExprTuple6, 5
4ExprTuple6, 7
5Operationoperator: 21
operands: 8
6Operationoperator: 17
operands: 9
7Operationoperator: 17
operands: 10
8ExprTuple11, 26
9ExprTuple12, 13, 14
10ExprTuple15, 16
11Operationoperator: 17
operands: 18
12Operationoperator: 27
operands: 19
13Variable
14Variable
15Operationoperator: 27
operands: 20
16Operationoperator: 21
operands: 22
17Literal
18ExprTuple23, 25
19ExprTuple24, 32
20ExprTuple32, 31
21Literal
22ExprTuple25, 26
23Operationoperator: 27
operands: 28
24Literal
25Variable
26Operationoperator: 29
operand: 33
27Literal
28ExprTuple31, 32
29Literal
30ExprTuple33
31Literal
32Literal
33Literal