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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, t, u, v, w, x, y, z
from proveit.logic import Equals
from proveit.numbers import Less, LessEq, greater, greater_eq
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(greater_eq(t, a), Less(t, u), Equals(u, v), LessEq(v, w), greater(x, w), Less(x, y), greater_eq(z, y), Less(u, z), greater(w, t))
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(t \geq a, t < u, u = v, v \leq w, x > w, x < y, z \geq y, u < z, w > t\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
1Operationoperator: 17
operands: 10
2Operationoperator: 20
operands: 11
3Operationoperator: 12
operands: 13
4Operationoperator: 17
operands: 14
5Operationoperator: 20
operands: 15
6Operationoperator: 20
operands: 16
7Operationoperator: 17
operands: 18
8Operationoperator: 20
operands: 19
9Operationoperator: 20
operands: 21
10ExprTuple22, 28
11ExprTuple28, 26
12Literal
13ExprTuple26, 23
14ExprTuple23, 29
15ExprTuple29, 24
16ExprTuple24, 25
17Literal
18ExprTuple25, 27
19ExprTuple26, 27
20Literal
21ExprTuple28, 29
22Variable
23Variable
24Variable
25Variable
26Variable
27Variable
28Variable
29Variable