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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, ExprTuple, IndexedVar, m
from proveit.core_expr_types import A_1_to_m
from proveit.logic import Boolean, Or
from proveit.numbers import Add, one
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Or(Or(A_1_to_m), IndexedVar(A, Add(m, one))), Boolean)
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} \lor  A_{2} \lor  \ldots \lor  A_{m}\right) \lor A_{m + 1}, \mathbb{B}\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: 6
operands: 3
2Literal
3ExprTuple4, 5
4Operationoperator: 6
operands: 7
5IndexedVarvariable: 17
index: 10
6Literal
7ExprTuple9
8ExprTuple10
9ExprRangelambda_map: 11
start_index: 16
end_index: 15
10Operationoperator: 12
operands: 13
11Lambdaparameter: 19
body: 14
12Literal
13ExprTuple15, 16
14IndexedVarvariable: 17
index: 19
15Variable
16Literal
17Variable
18ExprTuple19
19Variable