Theorem imasorint-P4.32b 488

Description: One Direction of '→' in Terms of '∨'. †

Only this direction is deducible with intuitionist logic.

Assertion

Ref	Expression
imasorint-P4.32b	⊢ ((¬ 𝜑 ∨ 𝜓) → (𝜑 → 𝜓))

Proof of Theorem imasorint-P4.32b

Step	Hyp	Ref	Expression
1		imasor-P4.32-L2 486	1 ⊢ ((¬ 𝜑 ∨ 𝜓) → (𝜑 → 𝜓))

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:  dfnfreeint-P7  969