Theorem norer-P4.2b.CL 372

Description: Closed Form of norer-P4.2b 370. †

Assertion

Ref	Expression
norer-P4.2b.CL	⊢ (¬ (𝜑 ∨ 𝜓) → ¬ 𝜑)

Proof of Theorem norer-P4.2b.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ (¬ (𝜑 ∨ 𝜓) → ¬ (𝜑 ∨ 𝜓))
2	1	norer-P4.2b 370	1 ⊢ (¬ (𝜑 ∨ 𝜓) → ¬ 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:  dmorgafwd-L4.1  452  dmorgbfwd-L4.3  454  peirce2exclmid-P4.41b  513