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Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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, n, x
from proveit.core_expr_types import x_1_to_n
from proveit.numbers import Add, one, subtract, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple([x_1_to_n], [ExprRange(sub_expr1, IndexedVar(x, Add(sub_expr1, one)), zero, subtract(n, one))])
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(\left(x_{1}, x_{2}, \ldots, x_{n}\right), \left(x_{0 + 1}, x_{1 + 1}, \ldots, x_{\left(n - 1\right) + 1}\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
1ExprTuple3
2ExprTuple4
3ExprRangelambda_map: 5
start_index: 23
end_index: 15
4ExprRangelambda_map: 6
start_index: 7
end_index: 8
5Lambdaparameter: 22
body: 9
6Lambdaparameter: 22
body: 10
7Literal
8Operationoperator: 20
operands: 11
9IndexedVarvariable: 13
index: 22
10IndexedVarvariable: 13
index: 17
11ExprTuple15, 16
12ExprTuple22
13Variable
14ExprTuple17
15Variable
16Operationoperator: 18
operand: 23
17Operationoperator: 20
operands: 21
18Literal
19ExprTuple23
20Literal
21ExprTuple22, 23
22Variable
23Literal