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Expression of type Add

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 a, b, c, d
from proveit.numbers import Add, Mult, Neg, frac, two
In [2]:
# build up the expression from sub-expressions
expr = Add(a, Neg(frac(a, two)), b, d, b, Mult(two, c))
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())
a - \frac{a}{2} + b + d + b + \left(2 \cdot c\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple15, 3, 5, 4, 5, 6
3Operationoperator: 7
operand: 11
4Variable
5Variable
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple11
9Literal
10ExprTuple16, 12
11Operationoperator: 13
operands: 14
12Variable
13Literal
14ExprTuple15, 16
15Variable
16Literal