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	reference	25	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
3	instantiation	4, 5, 6, 7, 8, 9	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_nonneg_closure
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	10	⊢
	: , : , :
7	instantiation	25, 11, 12	⊢
	: , : , :
8	instantiation	25, 14, 13	⊢
	: , : , :
9	instantiation	25, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
12	instantiation	25, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonneg
15	instantiation	18, 19	⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
17	instantiation	25, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
19	instantiation	22, 23, 24	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
21	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
23	instantiation	25, 26, 27	⊢
	: , : , :
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	28, 29	⊢
	:
28	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
29	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int