Theorem ndexclmid-P3.16 181

Description: Natural Deduction: Law of Excluded Middle (restated).

Every WFF '𝜑' is either true or false. This law is rejected within intuitionist logic.

Assertion

Ref	Expression
ndexclmid-P3.16	⊢ (𝜑 ∨ ¬ 𝜑)

Proof of Theorem ndexclmid-P3.16

Step	Hyp	Ref	Expression
1		exclmid-P2.12 152	1 ⊢ (𝜑 ∨ ¬ 𝜑)

Syntax hints:  ¬ wff-neg 9   ∨ wff-or 144

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-or-D2.3 145

This theorem is referenced by:  ndexclmid-P3.16.AC  251