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, 10, 11	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	33	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	12	⊢
	: , :
6	instantiation	12	⊢
	: , :
7	instantiation	31, 16, 13	⊢
	: , : , :
8	instantiation	31, 16, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
10	instantiation	31, 16, 15	⊢
	: , : , :
11	instantiation	31, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	31, 18, 19	⊢
	: , : , :
14	instantiation	31, 20, 21	⊢
	: , : , :
15	instantiation	22, 23	⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	24, 25, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	31, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
23	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	29, 30	⊢
	: , :
26	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2