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	24, 19, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	24, 21, 23	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	10, 8, 42, 11, 14, 12, 9, 17, 18	⊢
	: , : , : , : , : , :
7	instantiation	10, 11, 42, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	instantiation	40, 22, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20	⊢
	: , :
14	instantiation	20	⊢
	: , :
15	instantiation	40, 22, 25	⊢
	: , : , :
16	instantiation	40, 22, 26	⊢
	: , : , :
17	instantiation	40, 22, 21	⊢
	: , : , :
18	instantiation	40, 22, 23	⊢
	: , : , :
19	instantiation	24, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	27, 28	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	29, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
25	instantiation	40, 32, 33	⊢
	: , : , :
26	instantiation	40, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
28	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
29	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
30	instantiation	36, 37	⊢
	: , :
31	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	40, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2