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Expression of type ExprTuple

from the theory of proveit.numbers

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, x, y
from proveit.logic import InSet, NotEquals
from proveit.numbers import Less, LessEq, Real, greater, greater_eq, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Real), InSet(b, Real), InSet(c, Real), InSet(d, Real), InSet(x, Real), InSet(y, Real), greater(a, zero), greater_eq(b, zero), Less(c, zero), LessEq(d, zero), NotEquals(c, zero), Less(x, y))
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{R}, b \in \mathbb{R}, c \in \mathbb{R}, d \in \mathbb{R}, x \in \mathbb{R}, y \in \mathbb{R}, a > 0, b \geq 0, c < 0, d \leq 0, c \neq 0, x < y\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, 11, 12
1Operationoperator: 18
operands: 13
2Operationoperator: 18
operands: 14
3Operationoperator: 18
operands: 15
4Operationoperator: 18
operands: 16
5Operationoperator: 18
operands: 17
6Operationoperator: 18
operands: 19
7Operationoperator: 26
operands: 20
8Operationoperator: 22
operands: 21
9Operationoperator: 26
operands: 25
10Operationoperator: 22
operands: 23
11Operationoperator: 24
operands: 25
12Operationoperator: 26
operands: 27
13ExprTuple29, 28
14ExprTuple30, 28
15ExprTuple32, 28
16ExprTuple31, 28
17ExprTuple34, 28
18Literal
19ExprTuple35, 28
20ExprTuple33, 29
21ExprTuple33, 30
22Literal
23ExprTuple31, 33
24Literal
25ExprTuple32, 33
26Literal
27ExprTuple34, 35
28Literal
29Variable
30Variable
31Variable
32Variable
33Literal
34Variable
35Variable