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	29, 9, 8	⊢
	: , : , :
3	instantiation	29, 9, 10	⊢
	: , : , :
4	reference	13	⊢
5	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
6	instantiation	11, 13	⊢
	:
7	instantiation	12, 13	⊢
	:
8	instantiation	29, 15, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
10	instantiation	29, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
12	theorem		⊢
	proveit.numbers.division.frac_one_denom
13	instantiation	29, 17, 18	⊢
	: , : , :
14	instantiation	29, 20, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
16	instantiation	29, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	29, 22, 23	⊢
	: , : , :
19	instantiation	29, 25, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	29, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	29, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements