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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 Mult, Neg, five, frac, one, six, subtract, three, zero
In [2]:
# build up the expression from sub-expressions
expr = Equals(subtract(Mult(frac(five, six), zero), frac(one, three)), frac(Neg(one), three))
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(\frac{5}{6} \cdot 0\right) - \frac{1}{3}\right) = \frac{-1}{3}
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.()()('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: 20
operands: 7
5Literal
6ExprTuple8, 9
7ExprTuple10, 25
8Operationoperator: 11
operands: 12
9Operationoperator: 14
operand: 18
10Operationoperator: 14
operand: 24
11Literal
12ExprTuple16, 17
13ExprTuple18
14Literal
15ExprTuple24
16Operationoperator: 20
operands: 19
17Literal
18Operationoperator: 20
operands: 21
19ExprTuple22, 23
20Literal
21ExprTuple24, 25
22Literal
23Literal
24Literal
25Literal