logo

Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, Mult, Neg, frac, one, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Mult(two, c)
expr = ExprTuple(Add(Mult(frac(one, two), a), Mult(two, b), d, sub_expr1), Add(a, Neg(frac(a, two)), b, d, b, 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{1}{2} \cdot a\right) + \left(2 \cdot b\right) + d + \left(2 \cdot c\right), a - \frac{a}{2} + b + d + b + \left(2 \cdot c\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, 7, 9, 10
4Literal
5ExprTuple25, 8, 18, 9, 18, 10
6Operationoperator: 15
operands: 11
7Operationoperator: 15
operands: 12
8Operationoperator: 13
operand: 19
9Variable
10Operationoperator: 15
operands: 16
11ExprTuple17, 25
12ExprTuple26, 18
13Literal
14ExprTuple19
15Literal
16ExprTuple26, 20
17Operationoperator: 22
operands: 21
18Variable
19Operationoperator: 22
operands: 23
20Variable
21ExprTuple24, 26
22Literal
23ExprTuple25, 26
24Literal
25Variable
26Literal