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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), Exp(sub_expr2, two)), frac(Mult(c, sub_expr1), sub_expr2))
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) \cdot \left(b + d\right)}{\left(b + d\right)^{2}}, \frac{c \cdot \left(a + b\right)}{b + d}\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, 7
4Literal
5ExprTuple8, 14
6Operationoperator: 12
operands: 9
7Operationoperator: 10
operands: 11
8Operationoperator: 12
operands: 13
9ExprTuple16, 17, 14
10Literal
11ExprTuple14, 15
12Literal
13ExprTuple16, 17
14Operationoperator: 19
operands: 18
15Literal
16Variable
17Operationoperator: 19
operands: 20
18ExprTuple23, 21
19Literal
20ExprTuple22, 23
21Variable
22Variable
23Variable