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Expression of type ExprTuple

from the theory of proveit.numbers.division

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 ExprTuple, a, b, c
from proveit.numbers import Exp, Mult, Neg, four, frac, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(c, Neg(one))
expr = ExprTuple(Mult(a, b, Mult(frac(three, two), frac(four, three)), sub_expr1), Mult(a, b, Mult(frac(one, two), four), sub_expr1))
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 \cdot b \cdot \left(\frac{3}{2} \cdot \frac{4}{3}\right) \cdot c^{-1}, a \cdot b \cdot \left(\frac{1}{2} \cdot 4\right) \cdot c^{-1}\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: 11
operands: 3
2Operationoperator: 11
operands: 4
3ExprTuple6, 7, 5, 9
4ExprTuple6, 7, 8, 9
5Operationoperator: 11
operands: 10
6Variable
7Variable
8Operationoperator: 11
operands: 12
9Operationoperator: 13
operands: 14
10ExprTuple15, 16
11Literal
12ExprTuple17, 26
13Literal
14ExprTuple18, 19
15Operationoperator: 22
operands: 20
16Operationoperator: 22
operands: 21
17Operationoperator: 22
operands: 23
18Variable
19Operationoperator: 24
operand: 29
20ExprTuple27, 28
21ExprTuple26, 27
22Literal
23ExprTuple29, 28
24Literal
25ExprTuple29
26Literal
27Literal
28Literal
29Literal