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Expression of type ExprTuple

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.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, b
from proveit.core_expr_types import a_1_to_i, c_1_to_j
from proveit.numbers import Mult, Neg
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(a_1_to_i, Neg(b), c_1_to_j), Neg(Mult(a_1_to_i, b, c_1_to_j)))
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_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot \left(-b\right)\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{j}, -\left(a_{1} \cdot  a_{2} \cdot  \ldots \cdot  a_{i} \cdot b\cdot c_{1} \cdot  c_{2} \cdot  \ldots \cdot  c_{j}\right)\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: 9
operands: 3
2Operationoperator: 7
operand: 6
3ExprTuple11, 5, 13
4ExprTuple6
5Operationoperator: 7
operand: 12
6Operationoperator: 9
operands: 10
7Literal
8ExprTuple12
9Literal
10ExprTuple11, 12, 13
11ExprRangelambda_map: 14
start_index: 17
end_index: 15
12Variable
13ExprRangelambda_map: 16
start_index: 17
end_index: 18
14Lambdaparameter: 24
body: 19
15Variable
16Lambdaparameter: 24
body: 20
17Literal
18Variable
19IndexedVarvariable: 21
index: 24
20IndexedVarvariable: 22
index: 24
21Variable
22Variable
23ExprTuple24
24Variable