12 lines
569 B
Text
12 lines
569 B
Text
Set: pp::colors
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Set: pp::unicode
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Assumed: a
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Assumed: b
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λ x : ℕ, x = a
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funext (λ x : ℕ, trans (imp_congr (eq_id a) (λ H : ⊤, refl (x = a))) (imp_truel (x = a)))
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λ x : ℕ, ⊤
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funext (λ x : ℕ, trans (imp_congr (refl (x = a)) (λ H : x = a, eq_id x)) (imp_truer (x = a)))
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λ x : ℕ, ⊤
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funext (λ x : ℕ, trans (imp_congr (congr2 (eq x) (Nat::add_zeror a)) (λ H : x = a, eq_id a)) (imp_truer (x = a)))
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λ x : ℕ, a = 1 → x > 1
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funext (λ x : ℕ, imp_congr (congr1 (congr2 eq (Nat::add_zeror a)) 1) (λ C::2 : a = 1, congr2 (Nat::gt x) C::2))
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