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Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, Function, f, i
from proveit.core_expr_types import f_i_to_j
from proveit.numbers import Add, five, four, one, three, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple([f_i_to_j], [Function(f, [i]), Function(f, [Add(i, one)]), Function(f, [Add(i, two)]), Function(f, [Add(i, three)]), Function(f, [Add(i, four)]), Function(f, [Add(i, five)])])
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)\right), \left(f\left(i\right), f\left(i + 1\right), f\left(i + 2\right), f\left(i + 3\right), f\left(i + 4\right), f\left(i + 5\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, 6, 7, 8, 9
3ExprRangelambda_map: 10
start_index: 37
end_index: 11
4Operationoperator: 24
operand: 37
5Operationoperator: 24
operand: 19
6Operationoperator: 24
operand: 20
7Operationoperator: 24
operand: 21
8Operationoperator: 24
operand: 22
9Operationoperator: 24
operand: 23
10Lambdaparameter: 32
body: 18
11Variable
12ExprTuple37
13ExprTuple19
14ExprTuple20
15ExprTuple21
16ExprTuple22
17ExprTuple23
18Operationoperator: 24
operand: 32
19Operationoperator: 30
operands: 26
20Operationoperator: 30
operands: 27
21Operationoperator: 30
operands: 28
22Operationoperator: 30
operands: 29
23Operationoperator: 30
operands: 31
24Variable
25ExprTuple32
26ExprTuple37, 33
27ExprTuple37, 34
28ExprTuple37, 35
29ExprTuple37, 36
30Literal
31ExprTuple37, 38
32Variable
33Literal
34Literal
35Literal
36Literal
37Variable
38Literal