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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, d
from proveit.logic import InSet, NotEquals
from proveit.numbers import Complex, Integer, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Complex), InSet(b, Complex), InSet(c, Complex), InSet(d, Complex), InSet(a, Integer), InSet(b, Integer), NotEquals(a, zero), NotEquals(b, zero), NotEquals(c, zero), NotEquals(d, 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{C}, b \in \mathbb{C}, c \in \mathbb{C}, d \in \mathbb{C}, a \in \mathbb{Z}, b \in \mathbb{Z}, a \neq 0, b \neq 0, c \neq 0, d \neq 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, 6, 7, 8, 9, 10
1Operationoperator: 16
operands: 11
2Operationoperator: 16
operands: 12
3Operationoperator: 16
operands: 13
4Operationoperator: 16
operands: 14
5Operationoperator: 16
operands: 15
6Operationoperator: 16
operands: 17
7Operationoperator: 21
operands: 18
8Operationoperator: 21
operands: 19
9Operationoperator: 21
operands: 20
10Operationoperator: 21
operands: 22
11ExprTuple25, 23
12ExprTuple26, 23
13ExprTuple27, 23
14ExprTuple28, 23
15ExprTuple25, 24
16Literal
17ExprTuple26, 24
18ExprTuple25, 29
19ExprTuple26, 29
20ExprTuple27, 29
21Literal
22ExprTuple28, 29
23Literal
24Literal
25Variable
26Variable
27Variable
28Variable
29Literal