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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, d
from proveit.numbers import Add, Exp, Mult, frac, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(a, b)
sub_expr2 = Add(b, d)
expr = ExprTuple(frac(Mult(c, sub_expr1), sub_expr2), frac(Mult(Exp(sub_expr1, two), c), Mult(sub_expr2, 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{c \cdot \left(a + b\right)}{b + d}, \frac{\left(a + b\right)^{2} \cdot c}{\left(b + d\right) \cdot \left(a + b\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 15
4Literal
5ExprTuple7, 8
6Operationoperator: 11
operands: 9
7Operationoperator: 11
operands: 10
8Operationoperator: 11
operands: 12
9ExprTuple14, 19
10ExprTuple13, 14
11Literal
12ExprTuple15, 19
13Operationoperator: 16
operands: 17
14Variable
15Operationoperator: 22
operands: 18
16Literal
17ExprTuple19, 20
18ExprTuple25, 21
19Operationoperator: 22
operands: 23
20Literal
21Variable
22Literal
23ExprTuple24, 25
24Variable
25Variable