Theorem 7cn 8962

Description: The number 7 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.)

Assertion

Ref	Expression
7cn	⊢ 7 ∈ ℂ

Proof of Theorem 7cn

Step	Hyp	Ref	Expression
1		7re 8961	. 2 ⊢ 7 ∈ ℝ
2	1	recni 7932	1 ⊢ 7 ∈ ℂ

Syntax hints:   ∈ wcel 2141  ℂcc 7772  7c7 8934

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1440  ax-7 1441  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-11 1499  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527  ax-i5r 1528  ax-ext 2152  ax-resscn 7866  ax-1re 7868  ax-addrcl 7871

This theorem depends on definitions:  df-bi 116  df-nf 1454  df-sb 1756  df-clab 2157  df-cleq 2163  df-clel 2166  df-in 3127  df-ss 3134  df-2 8937  df-3 8938  df-4 8939  df-5 8940  df-6 8941  df-7 8942

This theorem is referenced by:  8m1e7  9003  7p2e9  9029  7p3e10  9417  7t2e14  9451  7t4e28  9453  7t7e49  9456  cos2bnd  11723