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Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

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, Lambda
from proveit.core_expr_types import A_1_to_l, B_1_to_m, C_1_to_n
from proveit.logic import And
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A_1_to_l, B_1_to_m, C_1_to_n], Conditional(And(A_1_to_l, And(B_1_to_m), C_1_to_n), And(A_1_to_l, B_1_to_m, C_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(\left(A_{1}, A_{2}, \ldots, A_{l}, B_{1}, B_{2}, \ldots, B_{m}, C_{1}, C_{2}, \ldots, C_{n}\right) \mapsto \left\{A_{1} \land  A_{2} \land  \ldots \land  A_{l} \land \left(B_{1} \land  B_{2} \land  \ldots \land  B_{m}\right)\land C_{1} \land  C_{2} \land  \ldots \land  C_{n} \textrm{ if } A_{1} ,  A_{2} ,  \ldots ,  A_{l}, B_{1} ,  B_{2} ,  \ldots ,  B_{m}, C_{1} ,  C_{2} ,  \ldots ,  C_{n}\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 6
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 10
operands: 5
4Operationoperator: 10
operands: 6
5ExprTuple8, 7, 9
6ExprTuple8, 16, 9
7Operationoperator: 10
operands: 11
8ExprRangelambda_map: 12
start_index: 20
end_index: 13
9ExprRangelambda_map: 14
start_index: 20
end_index: 15
10Literal
11ExprTuple16
12Lambdaparameter: 27
body: 17
13Variable
14Lambdaparameter: 27
body: 18
15Variable
16ExprRangelambda_map: 19
start_index: 20
end_index: 21
17IndexedVarvariable: 22
index: 27
18IndexedVarvariable: 23
index: 27
19Lambdaparameter: 27
body: 24
20Literal
21Variable
22Variable
23Variable
24IndexedVarvariable: 25
index: 27
25Variable
26ExprTuple27
27Variable