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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 12, 11, 14, 9, 6, 15, 16, 7	⊢
	: , : , : , : , : , :
3	instantiation	8, 11, 33, 9, 15, 16	⊢
	: , : , : , :
4	instantiation	10, 33, 11, 12, 13, 14, 15, 16, 17^*	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.addition.disassociation
6	instantiation	18	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
8	theorem		⊢
	proveit.numbers.addition.elim_zero_any
9	instantiation	18	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.association
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	instantiation	18	⊢
	: , :
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	31, 20, 19	⊢
	: , : , :
16	instantiation	31, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	22, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	31, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
23	instantiation	27, 28	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	31, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements