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.frac_cancel_left
2	instantiation	31, 8, 7	⊢
	: , : , :
3	instantiation	31, 8, 9	⊢
	: , : , :
4	instantiation	31, 17, 10	⊢
	: , : , :
5	instantiation	11, 12	⊢
	:
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_9_2
7	instantiation	31, 14, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	31, 14, 15	⊢
	: , : , :
10	instantiation	31, 23, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
12	instantiation	31, 17, 18	⊢
	: , : , :
13	instantiation	31, 20, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
15	instantiation	31, 20, 21	⊢
	: , : , :
16	instantiation	31, 29, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	31, 23, 24	⊢
	: , : , :
19	instantiation	31, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	31, 26, 27	⊢
	: , : , :
22	instantiation	31, 32, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	31, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
^*equality replacement requirements