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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 ExprTuple, i, j
from proveit.numbers import Add, Exp, e, four, one, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Add(i, j)), Exp(e, Add(Add(i, one), j)), Exp(e, Add(Add(i, two), j)), Exp(e, Add(Add(i, three), j)), Exp(e, Add(Add(i, four), j)))
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(\mathsf{e}^{i + j}, \mathsf{e}^{\left(i + 1\right) + j}, \mathsf{e}^{\left(i + 2\right) + j}, \mathsf{e}^{\left(i + 3\right) + j}, \mathsf{e}^{\left(i + 4\right) + j}\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, 5
1Operationoperator: 10
operands: 6
2Operationoperator: 10
operands: 7
3Operationoperator: 10
operands: 8
4Operationoperator: 10
operands: 9
5Operationoperator: 10
operands: 11
6ExprTuple16, 12
7ExprTuple16, 13
8ExprTuple16, 14
9ExprTuple16, 15
10Literal
11ExprTuple16, 17
12Operationoperator: 31
operands: 18
13Operationoperator: 31
operands: 19
14Operationoperator: 31
operands: 20
15Operationoperator: 31
operands: 21
16Literal
17Operationoperator: 31
operands: 22
18ExprTuple36, 27
19ExprTuple23, 27
20ExprTuple24, 27
21ExprTuple25, 27
22ExprTuple26, 27
23Operationoperator: 31
operands: 28
24Operationoperator: 31
operands: 29
25Operationoperator: 31
operands: 30
26Operationoperator: 31
operands: 32
27Variable
28ExprTuple36, 33
29ExprTuple36, 34
30ExprTuple36, 35
31Literal
32ExprTuple36, 37
33Literal
34Literal
35Literal
36Variable
37Literal