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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 y
from proveit.core_expr_types import a_1_to_i, b_1_to_j
from proveit.numbers import Add
In [2]:
# build up the expression from sub-expressions
expr = Add(a_1_to_i, y, b_1_to_j)
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_{1} +  a_{2} +  \ldots +  a_{i} + y+ b_{1} +  b_{2} +  \ldots +  b_{j}
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
2ExprTuple3, 4, 5
3ExprRangelambda_map: 6
start_index: 9
end_index: 7
4Variable
5ExprRangelambda_map: 8
start_index: 9
end_index: 10
6Lambdaparameter: 16
body: 11
7Variable
8Lambdaparameter: 16
body: 12
9Literal
10Variable
11IndexedVarvariable: 13
index: 16
12IndexedVarvariable: 14
index: 16
13Variable
14Variable
15ExprTuple16
16Variable