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Mirrors > Home > MPE Home > Th. List > npcan1 | Structured version Visualization version GIF version |
Description: Cancellation law for subtraction and addition with 1. (Contributed by Alexander van der Vekens, 5-Oct-2018.) |
Ref | Expression |
---|---|
npcan1 | ⊢ (𝐴 ∈ ℂ → ((𝐴 − 1) + 1) = 𝐴) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | . 2 ⊢ (𝐴 ∈ ℂ → 𝐴 ∈ ℂ) | |
2 | 1cnd 10726 | . 2 ⊢ (𝐴 ∈ ℂ → 1 ∈ ℂ) | |
3 | 1, 2 | npcand 11091 | 1 ⊢ (𝐴 ∈ ℂ → ((𝐴 − 1) + 1) = 𝐴) |
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