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Expression of type ExprTuple

from the theory of proveit.logic.booleans.disjunction

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 A, B, C, ExprRange, ExprTuple, IndexedVar, Variable, l, m, n
from proveit.logic import Boolean, InSet
from proveit.numbers import one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(A, sub_expr1), Boolean), one, l), ExprRange(sub_expr1, InSet(IndexedVar(B, sub_expr1), Boolean), one, m), ExprRange(sub_expr1, InSet(IndexedVar(C, sub_expr1), Boolean), one, 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(\left(A_{1} \in \mathbb{B}\right), \left(A_{2} \in \mathbb{B}\right), \ldots, \left(A_{l} \in \mathbb{B}\right),\left(B_{1} \in \mathbb{B}\right), \left(B_{2} \in \mathbb{B}\right), \ldots, \left(B_{m} \in \mathbb{B}\right),\left(C_{1} \in \mathbb{B}\right), \left(C_{2} \in \mathbb{B}\right), \ldots, \left(C_{n} \in \mathbb{B}\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, 3
1ExprRangelambda_map: 4
start_index: 9
end_index: 5
2ExprRangelambda_map: 6
start_index: 9
end_index: 7
3ExprRangelambda_map: 8
start_index: 9
end_index: 10
4Lambdaparameter: 26
body: 11
5Variable
6Lambdaparameter: 26
body: 12
7Variable
8Lambdaparameter: 26
body: 13
9Literal
10Variable
11Operationoperator: 16
operands: 14
12Operationoperator: 16
operands: 15
13Operationoperator: 16
operands: 17
14ExprTuple18, 21
15ExprTuple19, 21
16Literal
17ExprTuple20, 21
18IndexedVarvariable: 22
index: 26
19IndexedVarvariable: 23
index: 26
20IndexedVarvariable: 24
index: 26
21Literal
22Variable
23Variable
24Variable
25ExprTuple26
26Variable