Theorem truthtblfimt-P4.36c 497

Description: ( F → T ) ⇔ T. †

Assertion

Ref	Expression
truthtblfimt-P4.36c	⊢ ((⊥ → ⊤) ↔ ⊤)

Proof of Theorem truthtblfimt-P4.36c

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. . 3 ⊢ (⊥ → ⊥)
2	1	falseimpoe-P4.4c 383	. 2 ⊢ (⊥ → ⊤)
3	2	thmeqtrue-P4.21a 442	1 ⊢ ((⊥ → ⊤) ↔ ⊤)

Syntax hints:   → wff-imp 10   ↔ wff-bi 104  ⊤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  df-false-D2.5 158

This theorem is referenced by: (None)