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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, x
from proveit.core_expr_types import Len, f_i_to_j, range_i_to_jp1
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Len(operands = [f_i_to_j, x]), Len(operands = [range_i_to_jp1]))
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\right), x\right)|, |\left(i, \left(i + 1\right), \ldots, \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
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8
6ExprRangelambda_map: 9
start_index: 11
end_index: 18
7Variable
8ExprRangelambda_map: 10
start_index: 11
end_index: 12
9Lambdaparameter: 20
body: 13
10Lambdaparameter: 20
body: 20
11Variable
12Operationoperator: 14
operands: 15
13Operationoperator: 16
operand: 20
14Literal
15ExprTuple18, 19
16Variable
17ExprTuple20
18Variable
19Literal
20Variable