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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 ExprRange, ExprTuple, Variable
from proveit.core_expr_types import Len
from proveit.numbers import Add, Neg, four, nine, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(one)
sub_expr3 = Add(one, sub_expr2, one)
expr = ExprTuple(Len(operands = [sub_expr3, sub_expr3, sub_expr3, sub_expr3, sub_expr3, Add(four, sub_expr2, one), sub_expr3, sub_expr3, sub_expr3]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, nine)]))
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(1 - 1 + 1, 1 - 1 + 1, 1 - 1 + 1, 1 - 1 + 1, 1 - 1 + 1, 4 - 1 + 1, 1 - 1 + 1, 1 - 1 + 1, 1 - 1 + 1\right)|, |\left(1, 2, \ldots, 9\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
3ExprTuple7, 7, 7, 7, 7, 6, 7, 7, 7
4Literal
5ExprTuple8
6Operationoperator: 10
operands: 9
7Operationoperator: 10
operands: 11
8ExprRangelambda_map: 12
start_index: 20
end_index: 13
9ExprTuple14, 15, 20
10Literal
11ExprTuple20, 15, 20
12Lambdaparameter: 19
body: 19
13Literal
14Literal
15Operationoperator: 17
operand: 20
16ExprTuple19
17Literal
18ExprTuple20
19Variable
20Literal