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.logic.equality.four_chain_transitivity
2	instantiation	8, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	: , :
4	instantiation	8, 9	⊢
	: , : , :
5	instantiation	10, 11, 12	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	13, 14, 15, 20, 16	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	17, 18, 19	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.commutation
11	instantiation	48, 31, 20	⊢
	: , : , :
12	instantiation	21, 22	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
14	instantiation	48, 31, 23	⊢
	: , : , :
15	instantiation	24, 32	⊢
	:
16	instantiation	25, 47	⊢
	:
17	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
18	instantiation	48, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	instantiation	28, 29, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	instantiation	48, 31, 32	⊢
	: , : , :
23	instantiation	48, 38, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
27	instantiation	48, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	36, 37	⊢
	: , :
30	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	48, 38, 39	⊢
	: , : , :
33	instantiation	48, 43, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
35	instantiation	48, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	48, 43, 44	⊢
	: , : , :
40	instantiation	48, 49, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
42	instantiation	48, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	48, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1