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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	24, 25, 8	⊢
	: , : , :
6	instantiation	24, 25, 9	⊢
	: , : , :
7	instantiation	24, 25, 10	⊢
	: , : , :
8	instantiation	11, 12, 13	⊢
	: , : , :
9	instantiation	24, 15, 14	⊢
	: , : , :
10	instantiation	24, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
12	instantiation	17, 18	⊢
	: , :
13	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	instantiation	19, 20	⊢
	:
17	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
19	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
20	instantiation	21, 22, 23	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
22	instantiation	24, 25, 26	⊢
	: , : , :
23	assumption		⊢
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	27, 28	⊢
	:
27	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
28	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int