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.division.mult_frac_cancel_denom_left
2	instantiation	33, 8, 7	⊢
	: , : , :
3	instantiation	33, 8, 9	⊢
	: , : , :
4	instantiation	33, 12, 10	⊢
	: , : , :
5	instantiation	33, 12, 11	⊢
	: , : , :
6	instantiation	33, 12, 13	⊢
	: , : , :
7	instantiation	33, 15, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	33, 15, 16	⊢
	: , : , :
10	instantiation	33, 19, 17	⊢
	: , : , :
11	instantiation	33, 19, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
13	instantiation	33, 19, 20	⊢
	: , : , :
14	instantiation	33, 22, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	33, 22, 23	⊢
	: , : , :
17	instantiation	33, 26, 24	⊢
	: , : , :
18	instantiation	33, 26, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
20	instantiation	33, 26, 27	⊢
	: , : , :
21	instantiation	33, 29, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	33, 29, 30	⊢
	: , : , :
24	instantiation	33, 34, 31	⊢
	: , : , :
25	instantiation	33, 34, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2