2015-11-07 20:54:01 +00:00
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x = y → y = y
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T → x = y → y = y
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∀ (x_1 : T), x = x_1 → x_1 = y
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∀ (x_1 : T), x_1 = x → x = x
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T → T → x = y → y = y
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T → T → x = y → P y
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(∀ (x : T), P x ↔ Q x) → Q x
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Prop → (∀ (x : T), P x ↔ Q x) → Prop → Q x
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∀ (x_1 : Prop), (∀ (x : T), P x ↔ Q x) → x_1 ∨ Q x
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(∀ (x : T), P x ↔ Q x) → Q x
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∀ (x : T), T → (∀ (x : T), P x ↔ Q x) → Q x
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2015-11-17 00:22:43 +00:00
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∀ (x x_1 : T), x = x_1 → P x_1
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∀ (x x_1 x_2 : T), x = x_1 → x_1 = x_2 → P x_2
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2015-11-07 20:54:01 +00:00
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∀ (x x_1 : T), x = x_1 → (∀ (w : T), P w ↔ Q w) → Q x_1
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