Expression of type ExprTuple

from the theory of proveit.logic.booleans.conjunction

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_m
from proveit.logic import And, Equals, TRUE

# build up the expression from sub-expressions
sub_expr1 = And(A_1_to_m)
expr = ExprTuple(Lambda([A_1_to_m], Conditional(Equals(sub_expr1, TRUE), sub_expr1)))

expr:

# 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

# 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_{m}\right) \mapsto \left\{\left(A_{1} \land  A_{2} \land  \ldots \land  A_{m}\right) = \top \textrm{ if } A_{1} \land  A_{2} \land  \ldots \land  A_{m}\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 9 body: 2
2	Conditional	value: 3 condition: 6
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Literal
8	Literal
9	ExprTuple	10
10	ExprRange	lambda_map: 11 start_index: 12 end_index: 13
11	Lambda	parameter: 17 body: 14
12	Literal
13	Variable
14	IndexedVar	variable: 15 index: 17
15	Variable
16	ExprTuple	17
17	Variable