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	reference	22	⊢
2	instantiation	34, 29, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	8, 9, 10	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	22, 11, 17	⊢
	: , :
7	instantiation	12, 13, 36, 14, 15, 16, 23, 24, 17	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
9	instantiation	34, 18, 19	⊢
	: , : , :
10	instantiation	34, 20, 21	⊢
	: , : , :
11	instantiation	22, 23, 24	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.disassociation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	25	⊢
	: , :
17	instantiation	34, 29, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	34, 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.numbers.multiplication.mult_complex_closure_bin
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
24	instantiation	34, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	31, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	34, 35, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	37, 38	⊢
	:
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	39, 40	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
38	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real