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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, a, b, f, i, j, k, l
from proveit.numbers import Add
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, a)]), i, j)], [ExprRange(sub_expr1, Function(f, [Add(sub_expr1, b)]), k, l)])
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(f\left(i + a\right), f\left(\left(i + 1\right) + a\right), \ldots, f\left(j + a\right)\right), \left(f\left(k + b\right), f\left(\left(k + 1\right) + b\right), \ldots, f\left(l + b\right)\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: 6
end_index: 7
4ExprRangelambda_map: 8
start_index: 9
end_index: 10
5Lambdaparameter: 23
body: 11
6Variable
7Variable
8Lambdaparameter: 23
body: 13
9Variable
10Variable
11Operationoperator: 15
operand: 17
12ExprTuple23
13Operationoperator: 15
operand: 18
14ExprTuple17
15Variable
16ExprTuple18
17Operationoperator: 20
operands: 19
18Operationoperator: 20
operands: 21
19ExprTuple23, 22
20Literal
21ExprTuple23, 24
22Variable
23Variable
24Variable