Theorem ndsubaddl-P7.24b.CL 918

Description: Closed Form of ndsubaddl-P7.24b 852. †

Assertion

Ref	Expression
ndsubaddl-P7.24b.CL	⊢ (𝑡 = 𝑢 → (𝑡 + 𝑤) = (𝑢 + 𝑤))

Proof of Theorem ndsubaddl-P7.24b.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ (𝑡 = 𝑢 → 𝑡 = 𝑢)
2	1	ndsubaddl-P7.24b 852	1 ⊢ (𝑡 = 𝑢 → (𝑡 + 𝑤) = (𝑢 + 𝑤))

Syntax hints:   + term-add 4   = wff-equals 6   → wff-imp 10

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14  ax-L9-addl 23

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)