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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, y
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, y], [ExprRange(sub_expr1, IndexedVar(x, Add(sub_expr1, one)), zero, subtract(n, one)), y])
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}, y\right), \left(x_{0 + 1}, x_{1 + 1}, \ldots, x_{\left(n - 1\right) + 1}, y\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, 5
2ExprTuple4, 5
3ExprRangelambda_map: 6
start_index: 24
end_index: 16
4ExprRangelambda_map: 7
start_index: 8
end_index: 9
5Variable
6Lambdaparameter: 23
body: 10
7Lambdaparameter: 23
body: 11
8Literal
9Operationoperator: 21
operands: 12
10IndexedVarvariable: 14
index: 23
11IndexedVarvariable: 14
index: 18
12ExprTuple16, 17
13ExprTuple23
14Variable
15ExprTuple18
16Variable
17Operationoperator: 19
operand: 24
18Operationoperator: 21
operands: 22
19Literal
20ExprTuple24
21Literal
22ExprTuple23, 24
23Variable
24Literal