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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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, S, a, b
from proveit.logic import InSet, SubsetEq
from proveit.numbers import Integer, IntervalCC, LessEq, one, subtract
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Integer), InSet(b, Integer), LessEq(a, b), SubsetEq(IntervalCC(subtract(a, one), b), S))
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{Z}, b \in \mathbb{Z}, a \leq b, \left[a - 1,b\right] \subseteq S\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
1Operationoperator: 6
operands: 5
2Operationoperator: 6
operands: 7
3Operationoperator: 8
operands: 9
4Operationoperator: 10
operands: 11
5ExprTuple21, 12
6Literal
7ExprTuple18, 12
8Literal
9ExprTuple21, 18
10Literal
11ExprTuple13, 14
12Literal
13Operationoperator: 15
operands: 16
14Variable
15Literal
16ExprTuple17, 18
17Operationoperator: 19
operands: 20
18Variable
19Literal
20ExprTuple21, 22
21Variable
22Operationoperator: 23
operand: 25
23Literal
24ExprTuple25
25Literal