Theorem ndexclmid-P3.16.AC 251

Description: Alternate Form of Excluded Middle.

Assertion

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

Proof of Theorem ndexclmid-P3.16.AC

Step	Hyp	Ref	Expression
1		ndexclmid-P3.16 181	. 2 ⊢ (𝜑 ∨ ¬ 𝜑)
2	1	rcp-NDIMP0addall 207	1 ⊢ (𝛾 → (𝜑 ∨ ¬ 𝜑))

Syntax hints:  ¬ wff-neg 9   → wff-imp 10   ∨ 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-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155

This theorem is referenced by:  dnege-P3.30  276  orasim-P3.48-L2  360  sepimorr-P4.9c  412  sepimandl-P4.9d  415  oroverim-P4.28-L2  466  imasor-P4.32-L1  485  peirce-P4.40  511  qimeqex-P7-L1  1054