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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
from proveit.numbers import Add, Mult, four, nine, three, two, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Add(two, three, four, a, a, c, zero, c, b, b), Add(nine, Mult(two, a), Mult(two, c), Mult(two, b)))
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(2 + 3 + 4 + a + a + c + 0 + c + b + b, 9 + \left(2 \cdot a\right) + \left(2 \cdot c\right) + \left(2 \cdot 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
3ExprTuple19, 6, 7, 17, 17, 18, 8, 18, 20, 20
4Literal
5ExprTuple9, 10, 11, 12
6Literal
7Literal
8Literal
9Literal
10Operationoperator: 15
operands: 13
11Operationoperator: 15
operands: 14
12Operationoperator: 15
operands: 16
13ExprTuple19, 17
14ExprTuple19, 18
15Literal
16ExprTuple19, 20
17Variable
18Variable
19Literal
20Variable