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^, 7^, 8^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.division.prod_of_fracs
2	reference	15	⊢
3	instantiation	40, 23, 9	⊢
	: , : , :
4	instantiation	40, 11, 10	⊢
	: , : , :
5	instantiation	40, 11, 12	⊢
	: , : , :
6	instantiation	13, 15	⊢
	:
7	instantiation	14, 15	⊢
	:
8	instantiation	16, 17	⊢
	:
9	instantiation	40, 30, 18	⊢
	: , : , :
10	instantiation	40, 20, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12	instantiation	40, 20, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.frac_one_denom
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
15	instantiation	40, 23, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
17	instantiation	40, 23, 24	⊢
	: , : , :
18	instantiation	40, 37, 25	⊢
	: , : , :
19	instantiation	40, 27, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
21	instantiation	40, 27, 28	⊢
	: , : , :
22	instantiation	40, 30, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	40, 30, 31	⊢
	: , : , :
25	instantiation	40, 41, 32	⊢
	: , : , :
26	instantiation	40, 34, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
28	instantiation	40, 34, 35	⊢
	: , : , :
29	instantiation	40, 37, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	40, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
36	instantiation	40, 41, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements