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Expression of type ExprTuple

from the theory of proveit.core_expr_types.conditionals

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 Conditional, ExprTuple, a
from proveit.core_expr_types import Q_1_to_m, R_1_to_n
from proveit.logic import And
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Conditional(a, And(And(Q_1_to_m), And(R_1_to_n))), Conditional(a, And(Q_1_to_m, R_1_to_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(a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R_{1} \land  R_{2} \land  \ldots \land  R_{n}, a \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m}, R_{1} ,  R_{2} ,  \ldots ,  R_{n}\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
1Conditionalvalue: 4
condition: 3
2Conditionalvalue: 4
condition: 5
3Operationoperator: 11
operands: 6
4Variable
5Operationoperator: 11
operands: 7
6ExprTuple8, 9
7ExprTuple13, 14
8Operationoperator: 11
operands: 10
9Operationoperator: 11
operands: 12
10ExprTuple13
11Literal
12ExprTuple14
13ExprRangelambda_map: 15
start_index: 18
end_index: 16
14ExprRangelambda_map: 17
start_index: 18
end_index: 19
15Lambdaparameter: 25
body: 20
16Variable
17Lambdaparameter: 25
body: 21
18Literal
19Variable
20IndexedVarvariable: 22
index: 25
21IndexedVarvariable: 23
index: 25
22Variable
23Variable
24ExprTuple25
25Variable