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	38, 7, 6	⊢
	: , : , :
3	instantiation	38, 7, 8	⊢
	: , : , :
4	instantiation	38, 39, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	38, 13, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	38, 13, 14	⊢
	: , : , :
9	instantiation	38, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	38, 39, 17	⊢
	: , : , :
12	instantiation	38, 19, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
14	instantiation	38, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	instantiation	21, 22, 23	⊢
	: , :
17	instantiation	38, 24, 25	⊢
	: , : , :
18	instantiation	38, 27, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
20	instantiation	38, 27, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23	instantiation	29, 30	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	38, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
30	instantiation	33, 34, 35	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	38, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
34	instantiation	38, 39, 40	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	41, 42	⊢
	:
41	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
42	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
^*equality replacement requirements