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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 ExprRange, IndexedVar, Variable, a, b, c, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Add(Add(a_1_to_n, b), Add(Neg(c), Add(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), one, subtract(n, two)))))
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_{1} +  a_{2} +  \ldots +  a_{n} + b\right) + \left(-c + \left(a_{1} +  a_{2} +  \ldots +  a_{n - 2}\right)\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: 18
operands: 1
1ExprTuple2, 3
2Operationoperator: 18
operands: 4
3Operationoperator: 18
operands: 5
4ExprTuple6, 7
5ExprTuple8, 9
6ExprRangelambda_map: 14
start_index: 15
end_index: 22
7Variable
8Operationoperator: 25
operand: 12
9Operationoperator: 18
operands: 11
10ExprTuple12
11ExprTuple13
12Variable
13ExprRangelambda_map: 14
start_index: 15
end_index: 16
14Lambdaparameter: 24
body: 17
15Literal
16Operationoperator: 18
operands: 19
17IndexedVarvariable: 20
index: 24
18Literal
19ExprTuple22, 23
20Variable
21ExprTuple24
22Variable
23Operationoperator: 25
operand: 27
24Variable
25Literal
26ExprTuple27
27Literal