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