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Expression of type ExprTuple

from the theory of proveit.logic.sets.intersection

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, x
from proveit.logic.sets import general_intersectall_Ryn
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(x, general_intersectall_Ryn)
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(x, \bigcap_{\left(y_{1} \in S_{1}\right), \left(y_{2} \in S_{2}\right), \ldots, \left(y_{n} \in S_{n}\right)~|~Q\left(y_{1}, y_{2}, \ldots, y_{n}\right)}~R\left(y_{1}, y_{2}, \ldots, y_{n}\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
1Variable
2Operationoperator: 3
operand: 5
3Literal
4ExprTuple5
5Lambdaparameters: 16
body: 6
6Conditionalvalue: 7
condition: 8
7Operationoperator: 9
operands: 16
8Operationoperator: 10
operands: 11
9Variable
10Literal
11ExprTuple12, 13
12ExprRangelambda_map: 14
start_index: 22
end_index: 23
13Operationoperator: 15
operands: 16
14Lambdaparameter: 29
body: 17
15Variable
16ExprTuple18
17Operationoperator: 19
operands: 20
18ExprRangelambda_map: 21
start_index: 22
end_index: 23
19Literal
20ExprTuple25, 24
21Lambdaparameter: 29
body: 25
22Literal
23Variable
24IndexedVarvariable: 26
index: 29
25IndexedVarvariable: 27
index: 29
26Variable
27Variable
28ExprTuple29
29Variable