Theorem truthtbltandf-P4.37b 500

Description: ( T ∧ F ) ⇔ F. †

Assertion

Ref	Expression
truthtbltandf-P4.37b	⊢ ((⊤ ∧ ⊥) ↔ ⊥)

Proof of Theorem truthtbltandf-P4.37b

Step	Hyp	Ref	Expression
1		idandtruel-P4.19a 438	1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥)

Syntax hints:   ↔ wff-bi 104   ∧ wff-and 132  ⊤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: (None)