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Expression of type ExprTuple

from the theory of proveit.logic.sets.enumeration

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.core_expr_types import a_1_to_i, b_1_to_j, c_1_to_k
from proveit.logic import Set
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Set(a_1_to_i, x, b_1_to_j, x, c_1_to_k), Set(a_1_to_i, x, b_1_to_j, c_1_to_k))
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\{a_{1}, a_{2}, \ldots, a_{i}, x,b_{1}, b_{2}, \ldots, b_{j}, x,c_{1}, c_{2}, \ldots, c_{k}\right\}, \left\{a_{1}, a_{2}, \ldots, a_{i}, x,b_{1}, b_{2}, \ldots, b_{j},c_{1}, c_{2}, \ldots, c_{k}\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, 8, 7, 9
4Literal
5ExprTuple6, 7, 8, 9
6ExprRangelambda_map: 10
start_index: 15
end_index: 11
7Variable
8ExprRangelambda_map: 12
start_index: 15
end_index: 13
9ExprRangelambda_map: 14
start_index: 15
end_index: 16
10Lambdaparameter: 24
body: 17
11Variable
12Lambdaparameter: 24
body: 18
13Variable
14Lambdaparameter: 24
body: 19
15Literal
16Variable
17IndexedVarvariable: 20
index: 24
18IndexedVarvariable: 21
index: 24
19IndexedVarvariable: 22
index: 24
20Variable
21Variable
22Variable
23ExprTuple24
24Variable