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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 ExprRange, ExprTuple, IndexedVar, Variable, a, b, c, n
from proveit.numbers import Add, Neg, one, subtract, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = IndexedVar(a, sub_expr1)
expr = ExprTuple(Add(ExprRange(sub_expr1, sub_expr2, three, n), b), subtract(Neg(c), Add(ExprRange(sub_expr1, sub_expr2, 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_{3} +  a_{4} +  \ldots +  a_{n} + b, -c - \left(a_{1} +  a_{2} +  \ldots +  a_{n - 2}\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: 20
operands: 3
2Operationoperator: 20
operands: 4
3ExprTuple5, 6
4ExprTuple7, 8
5ExprRangelambda_map: 16
start_index: 9
end_index: 24
6Variable
7Operationoperator: 27
operand: 12
8Operationoperator: 27
operand: 13
9Literal
10ExprTuple12
11ExprTuple13
12Variable
13Operationoperator: 20
operands: 14
14ExprTuple15
15ExprRangelambda_map: 16
start_index: 17
end_index: 18
16Lambdaparameter: 26
body: 19
17Literal
18Operationoperator: 20
operands: 21
19IndexedVarvariable: 22
index: 26
20Literal
21ExprTuple24, 25
22Variable
23ExprTuple26
24Variable
25Operationoperator: 27
operand: 29
26Variable
27Literal
28ExprTuple29
29Literal