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	39, 7, 6	⊢
	: , : , :
3	instantiation	39, 7, 8	⊢
	: , : , :
4	instantiation	39, 20, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	39, 13, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	39, 13, 14	⊢
	: , : , :
9	instantiation	15, 16, 38, 17, 18, 19	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	39, 20, 21	⊢
	: , : , :
12	instantiation	39, 23, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
14	instantiation	39, 23, 24	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	25	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	39, 26, 27	⊢
	: , : , :
22	instantiation	39, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
24	instantiation	39, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	39, 31, 32	⊢
	: , : , :
28	instantiation	33, 38, 36	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	34, 35, 36	⊢
	: , :
33	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
34	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
35	instantiation	39, 37, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
41	assumption		⊢
^*equality replacement requirements