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Expression of type ExprTuple

from the theory of proveit.numbers.modular

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, N, a, b
from proveit.logic import Card, InSet
from proveit.numbers import Integer, Interval, LessEq
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Integer), InSet(b, Integer), LessEq(Card(Interval(a, b)), N))
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~\ldotp \ldotp~b\}| \leq N\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
1Operationoperator: 5
operands: 4
2Operationoperator: 5
operands: 6
3Operationoperator: 7
operands: 8
4ExprTuple17, 9
5Literal
6ExprTuple18, 9
7Literal
8ExprTuple10, 11
9Literal
10Operationoperator: 12
operand: 14
11Variable
12Literal
13ExprTuple14
14Operationoperator: 15
operands: 16
15Literal
16ExprTuple17, 18
17Variable
18Variable