Step
*
of Lemma
fpf-compatible-mod_wf
∀[A:Type]. ∀[B:A ─→ Type]. ∀[eq:EqDecider(A)]. ∀[f,g:a:A fp-> B[a]]. ∀[R:∩a:A. (B[a] ─→ B[a] ─→ 𝔹)].
(fpf-compatible-mod(A;a.B[a];eq;
R;f;g) ∈ ℙ)
BY
{ (Unfold `fpf-compatible-mod` 0 THEN Auto) }
Latex:
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f,g:a:A fp-> B[a]]. \mforall{}[R:\mcap{}a:A. (B[a] {}\mrightarrow{} B[a] {}\mrightarrow{} \mBbbB{})].
(fpf-compatible-mod(A;a.B[a];eq;
R;f;g) \mmember{} \mBbbP{})
By
(Unfold `fpf-compatible-mod` 0 THEN Auto)
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