Theorem rcp-FALSERAA1 521

Description: Reductio ad Absurdum Using '⊥'.

Hypothesis

Ref	Expression
rcp-FALSERAA1.1	⊢ (¬ 𝛾₁ → ⊥)

Assertion

Ref	Expression
rcp-FALSERAA1	⊢ 𝛾₁

Proof of Theorem rcp-FALSERAA1

Step	Hyp	Ref	Expression
1		rcp-FALSERAA1.1	. . 3 ⊢ (¬ 𝛾₁ → ⊥)
2	1	rcp-FALSENEGI1 433	. 2 ⊢ ¬ ¬ 𝛾₁
3	2	dnege-P3.30.RC 277	1 ⊢ 𝛾₁

Syntax hints:  ¬ wff-neg 9   → wff-imp 10  ⊥wff-false 157

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14

This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155  df-false-D2.5 158

This theorem is referenced by: (None)