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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, fi, i, j
from proveit.core_expr_types import f_i_to_jp1
from proveit.numbers import Add, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple([f_i_to_jp1], [fi, ExprRange(sub_expr1, Function(f, [sub_expr1]), Add(i, one), Add(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(\left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j + 1\right)\right), \left(f\left(i\right),f\left(i + 1\right), f\left(i + 2\right), \ldots, f\left(j + 1\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, 5
3ExprRangelambda_map: 7
start_index: 16
end_index: 9
4Operationoperator: 14
operand: 16
5ExprRangelambda_map: 7
start_index: 8
end_index: 9
6ExprTuple16
7Lambdaparameter: 19
body: 10
8Operationoperator: 12
operands: 11
9Operationoperator: 12
operands: 13
10Operationoperator: 14
operand: 19
11ExprTuple16, 18
12Literal
13ExprTuple17, 18
14Variable
15ExprTuple19
16Variable
17Variable
18Literal
19Variable