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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(Mult(a, sub_expr1, two, Exp(d, two), frac(two, three), c), frac(Mult(d, b, four, a, frac(one, three), d, 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(a \cdot \sqrt{b} \cdot 2 \cdot d^{2} \cdot \frac{2}{3} \cdot c, \frac{d \cdot b \cdot 4 \cdot a \cdot \frac{1}{3} \cdot d \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: 11
operands: 3
2Operationoperator: 23
operands: 4
3ExprTuple16, 8, 27, 5, 6, 19
4ExprTuple7, 8
5Operationoperator: 13
operands: 9
6Operationoperator: 23
operands: 10
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9ExprTuple18, 27
10ExprTuple27, 25
11Literal
12ExprTuple18, 20, 15, 16, 17, 18, 19
13Literal
14ExprTuple20, 21
15Literal
16Variable
17Operationoperator: 23
operands: 22
18Variable
19Variable
20Variable
21Operationoperator: 23
operands: 24
22ExprTuple26, 25
23Literal
24ExprTuple26, 27
25Literal
26Literal
27Literal