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^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_left
2	instantiation	34, 9, 8	⊢
	: , : , :
3	instantiation	34, 9, 10	⊢
	: , : , :
4	reference	14	⊢
5	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_2
6	instantiation	11, 12	⊢
	:
7	instantiation	13, 14	⊢
	:
8	instantiation	34, 16, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
10	instantiation	34, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
12	instantiation	34, 19, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.frac_one_denom
14	instantiation	34, 19, 20	⊢
	: , : , :
15	instantiation	34, 22, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
17	instantiation	34, 22, 23	⊢
	: , : , :
18	instantiation	34, 25, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	34, 25, 26	⊢
	: , : , :
21	instantiation	34, 28, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23	instantiation	34, 28, 29	⊢
	: , : , :
24	instantiation	34, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	34, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
30	instantiation	34, 35, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	34, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements