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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5, 6, 7	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
4	instantiation	27, 8, 9	⊢
	: , : , :
5	instantiation	27, 10, 11	⊢
	: , : , :
6	instantiation	12, 13, 14	⊢
	: , : , :
7	instantiation	15, 16	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	27, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
11	instantiation	27, 19, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
13	instantiation	21, 22	⊢
	: , :
14	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	27, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
20	instantiation	27, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
26	instantiation	30, 31	⊢
	:
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.negation.int_neg_closure
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1