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 A, Conditional, ExprRange, ExprTuple, Lambda, Variable, i, j
from proveit.logic import And
from proveit.numbers import Add, LessEq, one

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(A, Conditional(And(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), A, i, j)), And(A, LessEq(i, Add(j, one))))))

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(A \mapsto \left\{A \land  A \land  ..\left(j - i - 2\right) \times.. \land  A \textrm{ if } A ,  i \leq \left(j + 1\right)\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	parameter: 15 body: 3
2	ExprTuple	15
3	Conditional	value: 4 condition: 5
4	Operation	operator: 7 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9
7	Literal
8	ExprTuple	15, 10
9	ExprRange	lambda_map: 11 start_index: 16 end_index: 21
10	Operation	operator: 12 operands: 13
11	Lambda	parameter: 18 body: 15
12	Literal
13	ExprTuple	16, 17
14	ExprTuple	18
15	Variable
16	Variable
17	Operation	operator: 19 operands: 20
18	Variable
19	Literal
20	ExprTuple	21, 22
21	Variable
22	Literal