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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, a, b, c, d, w, x, y, z
from proveit.logic import InSet
from proveit.numbers import Complex, Integer
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(c, Complex), InSet(d, Complex), InSet(w, Complex), InSet(x, Complex), InSet(y, Complex), InSet(z, Complex), InSet(a, Integer), InSet(b, Integer))
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(c \in \mathbb{C}, d \in \mathbb{C}, w \in \mathbb{C}, x \in \mathbb{C}, y \in \mathbb{C}, z \in \mathbb{C}, a \in \mathbb{Z}, b \in \mathbb{Z}\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, 6, 7, 8
1Operationoperator: 16
operands: 9
2Operationoperator: 16
operands: 10
3Operationoperator: 16
operands: 11
4Operationoperator: 16
operands: 12
5Operationoperator: 16
operands: 13
6Operationoperator: 16
operands: 14
7Operationoperator: 16
operands: 15
8Operationoperator: 16
operands: 17
9ExprTuple18, 24
10ExprTuple19, 24
11ExprTuple20, 24
12ExprTuple21, 24
13ExprTuple22, 24
14ExprTuple23, 24
15ExprTuple25, 27
16Literal
17ExprTuple26, 27
18Variable
19Variable
20Variable
21Variable
22Variable
23Variable
24Literal
25Variable
26Variable
27Literal