logo

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, subtract, three, 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), three, 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_{3}, a_{4}, \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: 7
start_index: 5
end_index: 16
2Variable
3Operationoperator: 19
operand: 10
4ExprRangelambda_map: 7
start_index: 8
end_index: 9
5Literal
6ExprTuple10
7Lambdaparameter: 18
body: 11
8Literal
9Operationoperator: 12
operands: 13
10Variable
11IndexedVarvariable: 14
index: 18
12Literal
13ExprTuple16, 17
14Variable
15ExprTuple18
16Variable
17Operationoperator: 19
operand: 21
18Variable
19Literal
20ExprTuple21
21Literal