logo

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, x, y
from proveit.core_expr_types import w_1_to_m, z_1_to_n
from proveit.numbers import Mult, Neg, frac
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(frac(x, Mult(w_1_to_m, Neg(y), z_1_to_n)), Neg(frac(x, Mult(w_1_to_m, y, z_1_to_n))))
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(\frac{x}{w_{1} \cdot  w_{2} \cdot  \ldots \cdot  w_{m} \cdot \left(-y\right)\cdot z_{1} \cdot  z_{2} \cdot  \ldots \cdot  z_{n}}, -\frac{x}{w_{1} \cdot  w_{2} \cdot  \ldots \cdot  w_{m} \cdot y\cdot z_{1} \cdot  z_{2} \cdot  \ldots \cdot  z_{n}}\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: 8
operands: 3
2Operationoperator: 13
operand: 6
3ExprTuple11, 5
4ExprTuple6
5Operationoperator: 15
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple17, 10, 19
8Literal
9ExprTuple11, 12
10Operationoperator: 13
operand: 18
11Variable
12Operationoperator: 15
operands: 16
13Literal
14ExprTuple18
15Literal
16ExprTuple17, 18, 19
17ExprRangelambda_map: 20
start_index: 23
end_index: 21
18Variable
19ExprRangelambda_map: 22
start_index: 23
end_index: 24
20Lambdaparameter: 30
body: 25
21Variable
22Lambdaparameter: 30
body: 26
23Literal
24Variable
25IndexedVarvariable: 27
index: 30
26IndexedVarvariable: 28
index: 30
27Variable
28Variable
29ExprTuple30
30Variable