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^	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_left
2	instantiation	26, 6, 7	⊢
	: , : , :
3	instantiation	26, 14, 8	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
7	instantiation	26, 11, 12	⊢
	: , : , :
8	instantiation	26, 19, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
10	instantiation	26, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
12	instantiation	26, 16, 17	⊢
	: , : , :
13	instantiation	26, 24, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	26, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
17	instantiation	26, 21, 22	⊢
	: , : , :
18	instantiation	26, 27, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	26, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements