Theorem singular_conjunction_condition_reduction of type Forall

from the theory of proveit.core_expr_types.conditionals

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.core_expr_types.conditionals import singular_conjunction_condition_reduction

# check that the built expression is the same as the stored expression
assert singular_conjunction_condition_reduction.expr == stored_expr
assert singular_conjunction_condition_reduction.expr._style_id == stored_expr._style_id
print("Passed sanity check: singular_conjunction_condition_reduction matches stored_expr")

Passed sanity check: singular_conjunction_condition_reduction matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{a, Q}~\left(\begin{array}{c} \begin{array}{l} \left\{a \textrm{ if } \left[\land\right]\left(Q\right)\right.. \\  = \left\{a \textrm{ if } Q\right.. \end{array} \end{array}\right)

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Lambda	parameters: 4 body: 5
4	ExprTuple	11, 14
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	Conditional	value: 11 condition: 10
9	Conditional	value: 11 condition: 14
10	Operation	operator: 12 operand: 14
11	Variable
12	Literal
13	ExprTuple	14
14	Variable