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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, Function, Variable, f, i, j
from proveit.numbers import Add, one, subtract
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, Function(f, [Add(sub_expr1, one)]), subtract(i, one), subtract(j, 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(f\left(\left(i - 1\right) + 1\right), f\left(i + 1\right), \ldots, f\left(\left(j - 1\right) + 1\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1ExprRangelambda_map: 2
start_index: 3
end_index: 4
2Lambdaparameter: 19
body: 6
3Operationoperator: 17
operands: 7
4Operationoperator: 17
operands: 8
5ExprTuple19
6Operationoperator: 9
operand: 14
7ExprTuple11, 13
8ExprTuple12, 13
9Variable
10ExprTuple14
11Variable
12Variable
13Operationoperator: 15
operand: 20
14Operationoperator: 17
operands: 18
15Literal
16ExprTuple20
17Literal
18ExprTuple19, 20
19Variable
20Literal