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	29, 30, 8	⊢
	: , : , :
6	instantiation	29, 30, 9	⊢
	: , : , :
7	instantiation	29, 30, 10	⊢
	: , : , :
8	instantiation	29, 11, 12	⊢
	: , : , :
9	instantiation	13, 14, 15	⊢
	: , : , :
10	instantiation	29, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
12	instantiation	29, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	20, 21	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
17	instantiation	22, 23	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	29, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
23	instantiation	26, 27, 28	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
27	instantiation	29, 30, 31	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	32, 33	⊢
	:
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int