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.exponentiation.product_of_real_powers
2	instantiation	25, 6, 7	⊢
	: , : , :
3	instantiation	25, 8, 9	⊢
	: , : , :
4	instantiation	10, 11, 12	⊢
	: , : , :
5	instantiation	13, 14	⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	25, 15, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
9	instantiation	25, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
11	instantiation	19, 20	⊢
	: , :
12	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	25, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
18	instantiation	25, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	25, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
24	instantiation	28, 29	⊢
	:
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1