Expression of type Lambda

from the theory of proveit.core_expr_types.conditionals

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, Lambda, R, a
from proveit.core_expr_types import Q_1_to_m
from proveit.logic import And, Equals

# build up the expression from sub-expressions
expr = Lambda([a, Q_1_to_m, R], Equals(Conditional(a, And(And(Q_1_to_m), R)), Conditional(a, And(Q_1_to_m, R))).with_wrapping_at(1))

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, Q_{1}, Q_{2}, \ldots, Q_{m}, R\right) \mapsto \left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } Q_{1} \land  Q_{2} \land  \ldots \land  Q_{m} ,  R\right.. \\  = \left\{a \textrm{ if } Q_{1} ,  Q_{2} ,  \ldots ,  Q_{m} ,  R\right.. \end{array} \end{array}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameters: 1 body: 2
1	ExprTuple	8, 16, 13
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Conditional	value: 8 condition: 7
6	Conditional	value: 8 condition: 9
7	Operation	operator: 14 operands: 10
8	Variable
9	Operation	operator: 14 operands: 11
10	ExprTuple	12, 13
11	ExprTuple	16, 13
12	Operation	operator: 14 operands: 15
13	Variable
14	Literal
15	ExprTuple	16
16	ExprRange	lambda_map: 17 start_index: 18 end_index: 19
17	Lambda	parameter: 23 body: 20
18	Literal
19	Variable
20	IndexedVar	variable: 21 index: 23
21	Variable
22	ExprTuple	23
23	Variable