# from the theory of proveit.numbers.multiplication¶

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.
# import Expression classes needed to build the expression
from proveit import ExprTuple, a, x, y
from proveit.logic import InSet
from proveit.numbers import Less, Real, greater, zero

In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Real), InSet(x, Real), InSet(y, Real), Less(x, y), greater(a, zero))

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(a \in \mathbb{R}, x \in \mathbb{R}, y \in \mathbb{R}, x < y, a > 0\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, 3, 4, 5
1Operationoperator: 8
operands: 6
2Operationoperator: 8
operands: 7
3Operationoperator: 8
operands: 9
4Operationoperator: 11
operands: 10
5Operationoperator: 11
operands: 12
6ExprTuple17, 13
7ExprTuple14, 13
8Literal
9ExprTuple15, 13
10ExprTuple14, 15
11Literal
12ExprTuple16, 17
13Literal
14Variable
15Variable
16Literal
17Variable