Theorem rcp-FALSENEGI1 433

Description: '¬' Introduction with '⊥'. †

Hypothesis

Ref	Expression
rcp-FALSENEGI1.1	⊢ (𝛾₁ → ⊥)

Assertion

Ref	Expression
rcp-FALSENEGI1	⊢ ¬ 𝛾₁

Proof of Theorem rcp-FALSENEGI1

Step	Hyp	Ref	Expression
1		rcp-FALSENEGI1.1	. 2 ⊢ (𝛾₁ → ⊥)
2	1	ndfalsee-P3.20 185	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-true-D2.4 155  df-false-D2.5 158

This theorem is referenced by:  rcp-FALSERAA1  521