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, 21, 7	⊢
	: , : , :
3	reference	22	⊢
4	instantiation	36, 26, 8	⊢
	: , : , :
5	instantiation	9, 38	⊢
	:
6	instantiation	10, 17, 11, 12^*	⊢
	: , :
7	instantiation	36, 26, 13	⊢
	: , : , :
8	instantiation	36, 24, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	theorem		⊢
	proveit.numbers.negation.pos_times_neg
11	instantiation	36, 21, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	instantiation	36, 24, 18	⊢
	: , : , :
14	instantiation	19, 25	⊢
	:
15	instantiation	36, 26, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
17	instantiation	36, 21, 22	⊢
	: , : , :
18	instantiation	36, 28, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.int_closure
20	instantiation	36, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	36, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	36, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	36, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
31	instantiation	32, 33, 34	⊢
	: , :
32	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
33	instantiation	36, 37, 35	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
^*equality replacement requirements