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Expression of type Equals

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, Variable
from proveit.core_expr_types import Len
from proveit.logic import Equals
from proveit.numbers import DecimalSequence, eight, five, four, nine, one, seven, six, three, two
In [2]:
# build up the expression from sub-expressions
expr = Equals(Len(operands = [three, eight, six, seven, four, ExprRange(Variable("_a", latex_format = r"{_{-}a}"), nine, one, four), five, seven, two]), DecimalSequence(one, two)).with_wrapping_at(1)
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())
\begin{array}{c} \begin{array}{l} |\left(3, 8, 6, 7, 4,9, 9, ..1 \times.., 9, 5, 7, 2\right)| \\  = 12 \end{array} \end{array}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()(1)('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 10, 11, 14, 18, 12, 13, 14, 15
7Literal
8ExprTuple17, 15
9Literal
10Literal
11Literal
12ExprRangelambda_map: 16
start_index: 17
end_index: 18
13Literal
14Literal
15Literal
16Lambdaparameter: 21
body: 20
17Literal
18Literal
19ExprTuple21
20Literal
21Variable