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	4, 5, 6, 9, 7^*	⊢
	: , : , :
3	instantiation	8, 9	⊢
	:
4	theorem		⊢
	proveit.numbers.division.frac_cancel_left
5	instantiation	39, 11, 10	⊢
	: , : , :
6	instantiation	39, 11, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.division.frac_one_denom
9	instantiation	39, 19, 15	⊢
	: , : , :
10	instantiation	39, 17, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	39, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
14	instantiation	39, 19, 20	⊢
	: , : , :
15	instantiation	21, 22	⊢
	:
16	instantiation	39, 24, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	39, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	39, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
22	instantiation	28, 29	⊢
	:
23	instantiation	39, 30, 41	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
25	instantiation	39, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	39, 32, 33	⊢
	: , : , :
28	instantiation	34, 35, 36, 37, 38	⊢
	: , : , : , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	39, 40, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.enumeration.true_for_each_then_true_for_all
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	instantiation	42	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
38	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
^*equality replacement requirements