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Expression of type ExprTuple

from the theory of proveit.numbers.ordering

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
from proveit.numbers import Less, LessEq, Real
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Real), InSet(b, Real), InSet(c, Real), InSet(d, Real), LessEq(b, a), Less(a, c), Less(d, b))
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}, b \leq a, a < c, d < b\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
1Operationoperator: 11
operands: 8
2Operationoperator: 11
operands: 9
3Operationoperator: 11
operands: 10
4Operationoperator: 11
operands: 12
5Operationoperator: 13
operands: 14
6Operationoperator: 16
operands: 15
7Operationoperator: 16
operands: 17
8ExprTuple19, 18
9ExprTuple22, 18
10ExprTuple20, 18
11Literal
12ExprTuple21, 18
13Literal
14ExprTuple22, 19
15ExprTuple19, 20
16Literal
17ExprTuple21, 22
18Literal
19Variable
20Variable
21Variable
22Variable