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Expression of type ExprTuple

from the theory of proveit.numbers

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, x, y
from proveit.numbers import Add, Mult
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Add(b, c)
sub_expr2 = Add(c, y)
expr = ExprTuple(Add(Mult(Add(d, b), sub_expr1), Mult(Add(x, d), sub_expr2)), Add(Mult(Add(a, b), sub_expr1), Mult(Add(x, a), 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(\left(\left(d + b\right) \cdot \left(b + c\right)\right) + \left(\left(x + d\right) \cdot \left(c + y\right)\right), \left(\left(a + b\right) \cdot \left(b + c\right)\right) + \left(\left(x + a\right) \cdot \left(c + y\right)\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: 25
operands: 3
2Operationoperator: 25
operands: 4
3ExprTuple5, 6
4ExprTuple7, 8
5Operationoperator: 12
operands: 9
6Operationoperator: 12
operands: 10
7Operationoperator: 12
operands: 11
8Operationoperator: 12
operands: 13
9ExprTuple14, 17
10ExprTuple15, 19
11ExprTuple16, 17
12Literal
13ExprTuple18, 19
14Operationoperator: 25
operands: 20
15Operationoperator: 25
operands: 21
16Operationoperator: 25
operands: 22
17Operationoperator: 25
operands: 23
18Operationoperator: 25
operands: 24
19Operationoperator: 25
operands: 26
20ExprTuple27, 28
21ExprTuple29, 27
22ExprTuple30, 28
23ExprTuple28, 31
24ExprTuple29, 30
25Literal
26ExprTuple31, 32
27Variable
28Variable
29Variable
30Variable
31Variable
32Variable