Step
*
of Lemma
qmul-zero-div
∀[a:ℚ]. ∀[b:ℤ-o]. (((0/b) * a) = 0 ∈ ℚ)
BY
{ xxx(Auto THEN xxx(Subst ⌜(0/b) = 0 ∈ ℚ⌝ 0⋅ THENA Auto)xxx)xxx }
1
.....equality.....
1. a : ℚ
2. b : ℤ-o
⊢ (0/b) = 0 ∈ ℚ
2
1. a : ℚ
2. b : ℤ-o
⊢ (0 * a) = 0 ∈ ℚ
Latex:
Latex:
\mforall{}[a:\mBbbQ{}]. \mforall{}[b:\mBbbZ{}\msupminus{}\msupzero{}]. (((0/b) * a) = 0)
By
Latex:
xxx(Auto THEN xxx(Subst \mkleeneopen{}(0/b) = 0\mkleeneclose{} 0\mcdot{} THENA Auto)xxx)xxx
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