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, 6^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
2	instantiation	36, 26, 7	⊢
	: , : , :
3	reference	27	⊢
4	instantiation	36, 8, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 20, 13, 14^*	⊢
	: , :
7	instantiation	36, 24, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
9	instantiation	36, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
12	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
13	instantiation	36, 26, 18	⊢
	: , : , :
14	instantiation	19, 20	⊢
	:
15	instantiation	36, 31, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
17	instantiation	36, 22, 23	⊢
	: , : , :
18	instantiation	36, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
20	instantiation	36, 26, 27	⊢
	: , : , :
21	instantiation	36, 37, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
23	instantiation	29, 30	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	36, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.negation.int_neg_closure
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	39, 40	⊢
	: , :
35	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements