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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, fj
from proveit.core_expr_types import f_i_to_j, f_i_to_jm1
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple([f_i_to_jm1, fj], [f_i_to_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(\left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j - 1\right), f\left(j\right)\right), \left(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\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, 4
2ExprTuple5
3ExprRangelambda_map: 8
start_index: 9
end_index: 6
4Operationoperator: 15
operand: 13
5ExprRangelambda_map: 8
start_index: 9
end_index: 13
6Operationoperator: 10
operands: 11
7ExprTuple13
8Lambdaparameter: 19
body: 12
9Variable
10Literal
11ExprTuple13, 14
12Operationoperator: 15
operand: 19
13Variable
14Operationoperator: 17
operand: 20
15Variable
16ExprTuple19
17Literal
18ExprTuple20
19Variable
20Literal