Theorem dffalse-P3.49-L2 364

Description: Lemma for dffalse-P3.49 365. †

Assertion

Ref	Expression
dffalse-P3.49-L2	⊢ (¬ ⊤ → ⊥)

Proof of Theorem dffalse-P3.49-L2

Step	Hyp	Ref	Expression
1		true-P3.44 352	. . 3 ⊢ ⊤
2	1	dnegi-P3.29.RC 274	. 2 ⊢ ¬ ¬ ⊤
3	2	ndfalsei-P3.19 184	1 ⊢ (¬ ⊤ → ⊥)

Syntax hints:  ¬ wff-neg 9   → wff-imp 10  ⊤wff-true 153  ⊥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-true-D2.4 155

This theorem is referenced by:  dffalse-P3.49  365