Theorem rcp-NDANDER0 231

Description: Right '∧' Elimination. †

Hypothesis

Ref	Expression
rcp-NDANDER0.1	⊢ (𝜑 ∧ 𝜓)

Assertion

Ref	Expression
rcp-NDANDER0	⊢ 𝜑

Proof of Theorem rcp-NDANDER0

Step	Hyp	Ref	Expression
1		rcp-NDANDER0.1	. . . 4 ⊢ (𝜑 ∧ 𝜓)
2	1	ndtruei-P3.17 182	. . 3 ⊢ (⊤ → (𝜑 ∧ 𝜓))
3	2	ndander-P3.9 174	. 2 ⊢ (⊤ → 𝜑)
4	3	ndtruee-P3.18 183	1 ⊢ 𝜑

Syntax hints:   ∧ wff-and 132  ⊤wff-true 153

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)