Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	9, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.statistics.event_prob_in_interval
5	instantiation	9, 16, 10	⊢
	: , : , :
6	modus ponens	11, 12	⊢
7	instantiation	13, 14	⊢
	:
8	instantiation	15, 16, 17	⊢
	: , : , : , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	axiom		⊢
	proveit.physics.quantum.QPE._sample_space_def
11	instantiation	18, 19, 20^*	⊢
	: , : , : , : , : , : , :
12	generalization	21	⊢
13	axiom		⊢
	proveit.physics.quantum.QPE._fail_def
14	assumption		⊢
15	axiom		⊢
	proveit.statistics.prob_of_all_def
16	theorem		⊢
	proveit.physics.quantum.QPE._Omega_is_sample_space
17	instantiation	29, 22	⊢
	: , :
18	theorem		⊢
	proveit.logic.sets.comprehension.subset_via_condition_constraint
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	instantiation	23, 24, 25, 26	⊢
	: , : , : , : , :
21	axiom		⊢
	proveit.logic.booleans.true_axiom
22	instantiation	27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.core_expr_types.conditionals.true_condition_elimination
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	theorem		⊢
	proveit.logic.sets.functions.injections.membership_unfolding
28	instantiation	29, 30	⊢
	: , :
29	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
30	instantiation	31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.functions.bijections.membership_unfolding
32	theorem		⊢
	proveit.physics.quantum.QPE._sample_space_bijection
^*equality replacement requirements