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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_closure
2	instantiation	31, 6, 5	⊢
	: , : , :
3	instantiation	31, 6, 15	⊢
	: , : , :
4	instantiation	7, 8	⊢
	:
5	instantiation	9, 10, 11, 12, 13, 22	⊢
	: , :
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
8	instantiation	31, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
11	instantiation	16	⊢
	: , : , :
12	instantiation	31, 18, 17	⊢
	: , : , :
13	instantiation	31, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
15	instantiation	20, 21, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	instantiation	31, 24, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
19	instantiation	31, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	instantiation	26, 27	⊢
	:
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
25	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
26	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
27	instantiation	28, 29, 30	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
29	instantiation	31, 32, 33	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	34, 35	⊢
	:
34	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
35	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int