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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.core_expr_types import a_1_to_n
from proveit.numbers import Neg, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(a_1_to_n, b, Neg(c), 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, -c,a_{1}, a_{2}, \ldots, a_{n - 2}\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, 3, 4
1ExprRangelambda_map: 6
start_index: 7
end_index: 15
2Variable
3Operationoperator: 18
operand: 9
4ExprRangelambda_map: 6
start_index: 7
end_index: 8
5ExprTuple9
6Lambdaparameter: 17
body: 10
7Literal
8Operationoperator: 11
operands: 12
9Variable
10IndexedVarvariable: 13
index: 17
11Literal
12ExprTuple15, 16
13Variable
14ExprTuple17
15Variable
16Operationoperator: 18
operand: 20
17Variable
18Literal
19ExprTuple20
20Literal