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Expression of type Equals

from the theory of proveit.numbers.ordering

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.logic import Equals
from proveit.numbers import Add, DecimalSequence, Mult, eight, frac, one, six, two
In [2]:
# build up the expression from sub-expressions
expr = Equals(frac(Add(Mult(one, two), Mult(six, one)), Mult(six, two)), frac(eight, DecimalSequence(one, two))).with_wrapping_at(2)
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} \frac{\left(1 \cdot 2\right) + \left(6 \cdot 1\right)}{6 \cdot 2} =  \\ \frac{8}{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.()(2)('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: 6
operands: 5
4Operationoperator: 6
operands: 7
5ExprTuple8, 9
6Literal
7ExprTuple10, 11
8Operationoperator: 12
operands: 13
9Operationoperator: 19
operands: 14
10Literal
11Operationoperator: 15
operands: 18
12Literal
13ExprTuple16, 17
14ExprTuple22, 21
15Literal
16Operationoperator: 19
operands: 18
17Operationoperator: 19
operands: 20
18ExprTuple23, 21
19Literal
20ExprTuple22, 23
21Literal
22Literal
23Literal