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_right_side_into
2	instantiation	14, 4, 18	⊢
	: , :
3	instantiation	5, 6, 7, 8, 9, 10, 11, 12, 13	⊢
	: , : , : , : , : , :
4	instantiation	14, 16, 17	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	15	⊢
	: , :
11	instantiation	32, 33, 16	⊢
	: , : , :
12	instantiation	32, 33, 17	⊢
	: , : , :
13	instantiation	32, 33, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	19, 20, 21	⊢
	: , : , :
17	instantiation	32, 23, 22	⊢
	: , : , :
18	instantiation	32, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	25, 26	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	instantiation	27, 28	⊢
	:
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
28	instantiation	29, 30, 31	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
30	instantiation	32, 33, 34	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	35, 36	⊢
	:
35	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
36	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int