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	24, 6, 7	⊢
	: , : , :
3	instantiation	24, 14, 8	⊢
	: , : , :
4	instantiation	9, 10, 11	⊢
	: , : , :
5	instantiation	12, 13	⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	24, 14, 15	⊢
	: , : , :
8	instantiation	24, 19, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
10	instantiation	17, 18	⊢
	: , :
11	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	24, 19, 20	⊢
	: , : , :
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	24, 25, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.int_closure
22	instantiation	24, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1