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