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, 4, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	10	⊢
	: , : , :
6	instantiation	34, 35, 11	⊢
	: , : , :
7	instantiation	34, 35, 12	⊢
	: , : , :
8	instantiation	34, 35, 13	⊢
	: , : , :
9	instantiation	34, 35, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	instantiation	34, 15, 16	⊢
	: , : , :
12	instantiation	34, 18, 17	⊢
	: , : , :
13	instantiation	34, 18, 19	⊢
	: , : , :
14	instantiation	20, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	34, 23, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
19	instantiation	25, 26	⊢
	:
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	27, 28	⊢
	: , :
22	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	34, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
26	instantiation	31, 32, 33	⊢
	:
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
32	instantiation	34, 35, 36	⊢
	: , : , :
33	assumption		⊢
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	37, 38	⊢
	:
37	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
38	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int