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	6, 12, 7	, ⊢
	:
3	instantiation	25, 8, 9	⊢
	: , : , :
4	instantiation	25, 18, 10	, , ⊢
	: , : , :
5	instantiation	11, 12	⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
7	assumption		⊢
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	25, 13, 14	⊢
	: , : , :
10	instantiation	15, 16, 17	, , ⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
12	instantiation	25, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
14	instantiation	25, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
16	assumption		⊢
17	instantiation	22, 23, 24	, ⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21	instantiation	25, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
^*equality replacement requirements