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Expression of type ExprTuple

from the theory of proveit.logic.sets.unification

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 ExprRange, ExprTuple, Variable, a, b, c
from proveit.core_expr_types import Len
from proveit.logic import Set
from proveit.numbers import Add, five, one, three, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [Set(a, b, c), Set(two, Add(one, three), five)]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, two)]))
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(|\left(\left\{a, b, c\right\}, \left\{2, 1 + 3, 5\right\}\right)|, |\left(1, \ldots, 2\right)|\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
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8
6Operationoperator: 10
operands: 9
7Operationoperator: 10
operands: 11
8ExprRangelambda_map: 12
start_index: 23
end_index: 16
9ExprTuple13, 14, 15
10Literal
11ExprTuple16, 17, 18
12Lambdaparameter: 22
body: 22
13Variable
14Variable
15Variable
16Literal
17Operationoperator: 20
operands: 21
18Literal
19ExprTuple22
20Literal
21ExprTuple23, 24
22Variable
23Literal
24Literal