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Expression of type Add

from the theory of proveit.numbers.addition.subtraction

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 b, d
from proveit.core_expr_types import a_1_to_i, c_1_to_j, e_1_to_k
from proveit.numbers import Add, Neg
In [2]:
# build up the expression from sub-expressions
expr = Add(a_1_to_i, Neg(b), c_1_to_j, d, e_1_to_k)
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} - b+ c_{1} +  c_{2} +  \ldots +  c_{j} + d+ e_{1} +  e_{2} +  \ldots +  e_{k}
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, 6, 7
3ExprRangelambda_map: 8
start_index: 15
end_index: 9
4Operationoperator: 10
operand: 18
5ExprRangelambda_map: 12
start_index: 15
end_index: 13
6Variable
7ExprRangelambda_map: 14
start_index: 15
end_index: 16
8Lambdaparameter: 25
body: 17
9Variable
10Literal
11ExprTuple18
12Lambdaparameter: 25
body: 19
13Variable
14Lambdaparameter: 25
body: 20
15Literal
16Variable
17IndexedVarvariable: 21
index: 25
18Variable
19IndexedVarvariable: 22
index: 25
20IndexedVarvariable: 23
index: 25
21Variable
22Variable
23Variable
24ExprTuple25
25Variable